# 32304 (number)

32,304 (thirty-two thousand three hundred four) is an even five-digits composite number following 32303 and preceding 32305. In scientific notation, it is written as 3.2304 × 104. The sum of its digits is 12. It has a total of 6 prime factors and 20 positive divisors. There are 10,752 positive integers (up to 32304) that are relatively prime to 32304.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 12
• Digital Root 3

## Name

Short name 32 thousand 304 thirty-two thousand three hundred four

## Notation

Scientific notation 3.2304 × 104 32.304 × 103

## Prime Factorization of 32304

Prime Factorization 24 × 3 × 673

Composite number
Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 6 Total number of prime factors rad(n) 4038 Product of the distinct prime numbers λ(n) 1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 32,304 is 24 × 3 × 673. Since it has a total of 6 prime factors, 32,304 is a composite number.

## Divisors of 32304

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 673, 1346, 2019, 2692, 4038, 5384, 8076, 10768, 16152, 32304

20 divisors

 Even divisors 16 4 2 2
Total Divisors Sum of Divisors Aliquot Sum τ(n) 20 Total number of the positive divisors of n σ(n) 83576 Sum of all the positive divisors of n s(n) 51272 Sum of the proper positive divisors of n A(n) 4178.8 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 179.733 Returns the nth root of the product of n divisors H(n) 7.73045 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 32,304 can be divided by 20 positive divisors (out of which 16 are even, and 4 are odd). The sum of these divisors (counting 32,304) is 83,576, the average is 417,8.8.

## Other Arithmetic Functions (n = 32304)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 10752 Total number of positive integers not greater than n that are coprime to n λ(n) 672 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 3471 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 10,752 positive integers (less than 32,304) that are coprime with 32,304. And there are approximately 3,471 prime numbers less than or equal to 32,304.

## Divisibility of 32304

 m n mod m 2 3 4 5 6 7 8 9 0 0 0 4 0 6 0 3

The number 32,304 is divisible by 2, 3, 4, 6 and 8.

• Abundant

• Polite

## Base conversion (32304)

Base System Value
2 Binary 111111000110000
3 Ternary 1122022110
4 Quaternary 13320300
5 Quinary 2013204
6 Senary 405320
8 Octal 77060
10 Decimal 32304
12 Duodecimal 16840
20 Vigesimal 40f4
36 Base36 oxc

## Basic calculations (n = 32304)

### Multiplication

n×y
 n×2 64608 96912 129216 161520

### Division

n÷y
 n÷2 16152 10768 8076 6460.8

### Exponentiation

ny
 n2 1043548416 33710788030464 1088993296536109056 35178839451302466945024

### Nth Root

y√n
 2√n 179.733 31.8482 13.4065 7.97721

## 32304 as geometric shapes

### Circle

 Diameter 64608 202972 3.2784e+09

### Sphere

 Volume 1.41207e+14 1.31136e+10 202972

### Square

Length = n
 Perimeter 129216 1.04355e+09 45684.8

### Cube

Length = n
 Surface area 6.26129e+09 3.37108e+13 55952.2

### Equilateral Triangle

Length = n
 Perimeter 96912 4.5187e+08 27976.1

### Triangular Pyramid

Length = n
 Surface area 1.80748e+09 3.97285e+12 26376.1

## Cryptographic Hash Functions

md5 87d76d9c72d0b437182d4c27536b43c2 07eb342351731719d977b5e282e790450ef7e1f5 b8fdc7451e3aa0344bf401dd53807b93d80014f43423de496bb2e66b15097d96 148036b59aa1a8381394b890025311b33a709c9280435a7899ae3e804f32eb0605da72cffe9ac8968a793af762c01a0c5418c5cdcf1577e4ec692ec144b0197d 58bdba4374ce28065507bd345e76960e3b9f9751
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