## 36328

36,328 (thirty-six thousand three hundred twenty-eight) is an even five-digits composite number following 36327 and preceding 36329. In scientific notation, it is written as 3.6328 × 104. The sum of its digits is 22. It has a total of 5 prime factors and 16 positive divisors. There are 17,136 positive integers (up to 36328) that are relatively prime to 36328.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 22
• Digital Root 4

## Name

Short name 36 thousand 328 thirty-six thousand three hundred twenty-eight

## Notation

Scientific notation 3.6328 × 104 36.328 × 103

## Prime Factorization of 36328

Prime Factorization 23 × 19 × 239

Composite number
Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 5 Total number of prime factors rad(n) 9082 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 36,328 is 23 × 19 × 239. Since it has a total of 5 prime factors, 36,328 is a composite number.

## Divisors of 36328

1, 2, 4, 8, 19, 38, 76, 152, 239, 478, 956, 1912, 4541, 9082, 18164, 36328

16 divisors

 Even divisors 12 4 2 2
Total Divisors Sum of Divisors Aliquot Sum τ(n) 16 Total number of the positive divisors of n σ(n) 72000 Sum of all the positive divisors of n s(n) 35672 Sum of the proper positive divisors of n A(n) 4500 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 190.599 Returns the nth root of the product of n divisors H(n) 8.07289 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 36,328 can be divided by 16 positive divisors (out of which 12 are even, and 4 are odd). The sum of these divisors (counting 36,328) is 72,000, the average is 4,500.

## Other Arithmetic Functions (n = 36328)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 17136 Total number of positive integers not greater than n that are coprime to n λ(n) 4284 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 3854 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 17,136 positive integers (less than 36,328) that are coprime with 36,328. And there are approximately 3,854 prime numbers less than or equal to 36,328.

## Divisibility of 36328

 m n mod m 2 3 4 5 6 7 8 9 0 1 0 3 4 5 0 4

The number 36,328 is divisible by 2, 4 and 8.

## Classification of 36328

• Arithmetic
• Deficient

### Expressible via specific sums

• Polite
• Non-hypotenuse

## Base conversion (36328)

Base System Value
2 Binary 1000110111101000
3 Ternary 1211211111
4 Quaternary 20313220
5 Quinary 2130303
6 Senary 440104
8 Octal 106750
10 Decimal 36328
12 Duodecimal 19034
20 Vigesimal 4ag8
36 Base36 s14

## Basic calculations (n = 36328)

### Multiplication

n×i
 n×2 72656 108984 145312 181640

### Division

ni
 n⁄2 18164 12109.3 9082 7265.6

### Exponentiation

ni
 n2 1319723584 47942918359552 1741670338165805056 63271400044887366074368

### Nth Root

i√n
 2√n 190.599 33.1193 13.8058 8.16673

## 36328 as geometric shapes

### Circle

 Diameter 72656 228256 4.14603e+09

### Sphere

 Volume 2.00823e+14 1.65841e+10 228256

### Square

Length = n
 Perimeter 145312 1.31972e+09 51375.6

### Cube

Length = n
 Surface area 7.91834e+09 4.79429e+13 62921.9

### Equilateral Triangle

Length = n
 Perimeter 108984 5.71457e+08 31461

### Triangular Pyramid

Length = n
 Surface area 2.28583e+09 5.65013e+12 29661.7
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