## 37444

37,444 (thirty-seven thousand four hundred forty-four) is an even five-digits composite number following 37443 and preceding 37445. In scientific notation, it is written as 3.7444 × 104. The sum of its digits is 22. It has a total of 5 prime factors and 24 positive divisors. There are 15,840 positive integers (up to 37444) that are relatively prime to 37444.

## Basic properties

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

## Name

Short name 37 thousand 444 thirty-seven thousand four hundred forty-four

## Notation

Scientific notation 3.7444 × 104 37.444 × 103

## Prime Factorization of 37444

Prime Factorization 22 × 11 × 23 × 37

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 5 Total number of prime factors rad(n) 18722 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 37,444 is 22 × 11 × 23 × 37. Since it has a total of 5 prime factors, 37,444 is a composite number.

## Divisors of 37444

1, 2, 4, 11, 22, 23, 37, 44, 46, 74, 92, 148, 253, 407, 506, 814, 851, 1012, 1628, 1702, 3404, 9361, 18722, 37444

24 divisors

 Even divisors 16 8 4 4
Total Divisors Sum of Divisors Aliquot Sum τ(n) 24 Total number of the positive divisors of n σ(n) 76608 Sum of all the positive divisors of n s(n) 39164 Sum of the proper positive divisors of n A(n) 3192 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 193.505 Returns the nth root of the product of n divisors H(n) 11.7306 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 37,444 can be divided by 24 positive divisors (out of which 16 are even, and 8 are odd). The sum of these divisors (counting 37,444) is 76,608, the average is 3,192.

## Other Arithmetic Functions (n = 37444)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 15840 Total number of positive integers not greater than n that are coprime to n λ(n) 1980 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 3960 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 15,840 positive integers (less than 37,444) that are coprime with 37,444. And there are approximately 3,960 prime numbers less than or equal to 37,444.

## Divisibility of 37444

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

The number 37,444 is divisible by 2 and 4.

• Arithmetic
• Abundant

• Polite

## Base conversion (37444)

Base System Value
2 Binary 1001001001000100
3 Ternary 1220100211
4 Quaternary 21021010
5 Quinary 2144234
6 Senary 445204
8 Octal 111104
10 Decimal 37444
12 Duodecimal 19804
20 Vigesimal 4dc4
36 Base36 sw4

## Basic calculations (n = 37444)

### Multiplication

n×i
 n×2 74888 112332 149776 187220

### Division

ni
 n⁄2 18722 12481.3 9361 7488.8

### Exponentiation

ni
 n2 1402053136 52498477624384 1965752996167434496 73605655188493417268224

### Nth Root

i√n
 2√n 193.505 33.455 13.9106 8.2163

## 37444 as geometric shapes

### Circle

 Diameter 74888 235268 4.40468e+09

### Sphere

 Volume 2.19905e+14 1.76187e+10 235268

### Square

Length = n
 Perimeter 149776 1.40205e+09 52953.8

### Cube

Length = n
 Surface area 8.41232e+09 5.24985e+13 64854.9

### Equilateral Triangle

Length = n
 Perimeter 112332 6.07107e+08 32427.5

### Triangular Pyramid

Length = n
 Surface area 2.42843e+09 6.187e+12 30572.9

## Cryptographic Hash Functions

md5 18fb2418d12f6b0018e2f4f434ba9403 9739bd4f4ce6b61f4859db78fbe9b1318a4ac302 f44e78a6f05d78d0c4da6b10bd99824fe9a9091f97a9503668ef2373ef0590e4 0ca0fd7967372a2d625f12d8138dc2ed365a7c347b6bf5663e6943faef9d5a1d1673932d70dac57091fdd53d3fc43ec0a4007dcb45253f97aa22e631de1182fd e39c050ff1b32f7b19dffe4b6c80ff2488e5e6d8
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