#include <bits/stdc++.h>
using namespace std;
template <typename T>
T power(T a, long long b) {
  T r = 1;
  while (b) {
    if (b & 1) {
      r *= a;
    }
    a *= a;
    b >>= 1;
  }
  return r;
}
int inverse(int a, int m) {
  a %= m;
  if (a < 0) {
    a += m;
  }
  int b = m, u = 0, v = 1;
  while (a) {
    int t = b / a;
    b -= a * t;
    swap(a, b);
    u -= v * t;
    swap(u, v);
  }
  if (u < 0) {
    u += m;
  }
  return u;
}
template <int _P>
struct modnum {
  static constexpr int P = _P;

 private:
  int v;

 public:
  modnum() : v(0) {}
  modnum(long long _v) {
    v = _v % P;
    if (v < 0) {
      v += P;
    }
  }
  explicit operator int() const { return v; }
  bool operator==(const modnum& o) const { return v == o.v; }
  bool operator!=(const modnum& o) const { return v != o.v; }
  modnum inverse() const { return modnum(::inverse(v, P)); }
  modnum operator-() const { return modnum(v ? P - v : 0); }
  modnum operator+() const { return *this; }
  modnum& operator++() {
    v++;
    if (v == P) {
      v = 0;
    }
    return *this;
  }
  modnum& operator--() {
    if (v == 0) {
      v = P;
    }
    v--;
    return *this;
  }
  modnum operator++(int) {
    modnum r = *this;
    ++*this;
    return r;
  }
  modnum operator--(int) {
    modnum r = *this;
    --*this;
    return r;
  }
  modnum& operator+=(const modnum& o) {
    v += o.v;
    if (v >= P) {
      v -= P;
    }
    return *this;
  }
  modnum operator+(const modnum& o) const { return modnum(*this) += o; }
  modnum& operator-=(const modnum& o) {
    v -= o.v;
    if (v < 0) {
      v += P;
    }
    return *this;
  }
  modnum operator-(const modnum& o) const { return modnum(*this) -= o; }
  modnum& operator*=(const modnum& o) {
    v = (int)((long long)v * o.v % P);
    return *this;
  }
  modnum operator*(const modnum& o) const { return modnum(*this) *= o; }
  modnum& operator/=(const modnum& o) { return *this *= o.inverse(); }
  modnum operator/(const modnum& o) const { return modnum(*this) /= o; }
};
template <int _P>
ostream& operator<<(ostream& out, const modnum<_P>& n) {
  return out << int(n);
}
template <int _P>
istream& operator>>(istream& in, modnum<_P>& n) {
  long long _v;
  in >> _v;
  n = modnum<_P>(_v);
  return in;
}
using num = modnum<998244353>;
template <typename T>
vector<int> suffix_array(int n, const T& s, int char_bound) {
  vector<int> a(n);
  if (n == 0) {
    return a;
  }
  if (char_bound != -1) {
    vector<int> aux(char_bound, 0);
    for (int i = 0; i < n; i++) {
      aux[s[i]]++;
    }
    int sum = 0;
    for (int i = 0; i < char_bound; i++) {
      int add = aux[i];
      aux[i] = sum;
      sum += add;
    }
    for (int i = 0; i < n; i++) {
      a[aux[s[i]]++] = i;
    }
  } else {
    iota(a.begin(), a.end(), 0);
    sort(a.begin(), a.end(), [&s](int i, int j) { return s[i] < s[j]; });
  }
  vector<int> sorted_by_second(n);
  vector<int> ptr_group(n);
  vector<int> new_group(n);
  vector<int> group(n);
  group[a[0]] = 0;
  for (int i = 1; i < n; i++) {
    group[a[i]] = group[a[i - 1]] + (!(s[a[i]] == s[a[i - 1]]));
  }
  int cnt = group[a[n - 1]] + 1;
  int step = 1;
  while (cnt < n) {
    int at = 0;
    for (int i = n - step; i < n; i++) {
      sorted_by_second[at++] = i;
    }
    for (int i = 0; i < n; i++) {
      if (a[i] - step >= 0) {
        sorted_by_second[at++] = a[i] - step;
      }
    }
    for (int i = n - 1; i >= 0; i--) {
      ptr_group[group[a[i]]] = i;
    }
    for (int i = 0; i < n; i++) {
      int x = sorted_by_second[i];
      a[ptr_group[group[x]]++] = x;
    }
    new_group[a[0]] = 0;
    for (int i = 1; i < n; i++) {
      if (group[a[i]] != group[a[i - 1]]) {
        new_group[a[i]] = new_group[a[i - 1]] + 1;
      } else {
        int pre = (a[i - 1] + step >= n ? -1 : group[a[i - 1] + step]);
        int cur = (a[i] + step >= n ? -1 : group[a[i] + step]);
        new_group[a[i]] = new_group[a[i - 1]] + (pre != cur);
      }
    }
    swap(group, new_group);
    cnt = group[a[n - 1]] + 1;
    step <<= 1;
  }
  return a;
}
template <typename T>
vector<int> suffix_array(const T& s, int char_bound) {
  return suffix_array((int)s.size(), s, char_bound);
}
template <typename T>
vector<int> build_lcp(int n, const T& s, const vector<int>& sa) {
  assert((int)sa.size() == n);
  vector<int> pos(n);
  for (int i = 0; i < n; i++) {
    pos[sa[i]] = i;
  }
  vector<int> lcp(max(n - 1, 0));
  int k = 0;
  for (int i = 0; i < n; i++) {
    k = max(k - 1, 0);
    if (pos[i] == n - 1) {
      k = 0;
    } else {
      int j = sa[pos[i] + 1];
      while (i + k < n && j + k < n && s[i + k] == s[j + k]) {
        k++;
      }
      lcp[pos[i]] = k;
    }
  }
  return lcp;
}
template <typename T>
vector<int> build_lcp(const T& s, const vector<int>& sa) {
  return build_lcp((int)s.size(), s, sa);
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n;
  cin >> n;
  if (n <= 4) {
    vector<int> p(n);
    for (int i = 0; i < n; ++i) {
      p[i] = i;
    }
    vector<int> s;
    do {
      for (int i = 0; i < n; ++i) {
        s.push_back(p[i]);
      }
    } while (next_permutation(p.begin(), p.end()));
    vector<int> sa = suffix_array(s, n);
    vector<int> lcp = build_lcp(s, sa);
    int m = s.size();
    int ans = m * (m + 1) / 2;
    for (int i = 0; i < m - 1; ++i) {
      ans -= lcp[i];
    }
    cout << ans << "\n";
    return 0;
  }
  vector<num> fact(n + 1);
  fact[0] = 1;
  for (int i = 1; i <= n; ++i) {
    fact[i] = fact[i - 1] * i;
  }
  vector<num> h(n * 2);
  h[0] = n;
  h[1] = (num)n * (n - 2) + 2;
  for (int i = 0; i < n - 3; ++i) {
    h[i + 2] = h[i + 1] * (n - i - 2) - fact[n] / fact[n - i] * (n - 4 - i);
  }
  h[n - 1] = fact[n];
  for (int i = 0; i < n - 1; ++i) {
    h[i + n] = fact[n] - h[i];
  }
  num ans = (fact[n] * n) * (fact[n] * n + 1) / 2;
  for (int i = 0; i < n * 2; ++i) {
    ans -= h[i] * i;
  }
  cout << ans << "\n";
  return 0;
}
