# 1314 (number)

1,314 (one thousand three hundred fourteen) is an even four-digits composite number following 1313 and preceding 1315. In scientific notation, it is written as 1.314 × 103. The sum of its digits is 9. It has a total of 4 prime factors and 12 positive divisors. There are 432 positive integers (up to 1314) that are relatively prime to 1314.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 4
• Sum of Digits 9
• Digital Root 9

## Name

Short name 1 thousand 314 one thousand three hundred fourteen

## Notation

Scientific notation 1.314 × 103 1.314 × 103

## Prime Factorization of 1314

Prime Factorization 2 × 32 × 73

Composite number
Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 4 Total number of prime factors rad(n) 438 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 1,314 is 2 × 32 × 73. Since it has a total of 4 prime factors, 1,314 is a composite number.

## Divisors of 1314

1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314

12 divisors

 Even divisors 6 6 4 2
Total Divisors Sum of Divisors Aliquot Sum τ(n) 12 Total number of the positive divisors of n σ(n) 2886 Sum of all the positive divisors of n s(n) 1572 Sum of the proper positive divisors of n A(n) 240.5 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 36.2491 Returns the nth root of the product of n divisors H(n) 5.46362 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1,314 can be divided by 12 positive divisors (out of which 6 are even, and 6 are odd). The sum of these divisors (counting 1,314) is 2,886, the average is 24,0.5.

## Other Arithmetic Functions (n = 1314)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 432 Total number of positive integers not greater than n that are coprime to n λ(n) 72 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 215 Total number of primes less than or equal to n r2(n) 8 The number of ways n can be represented as the sum of 2 squares

There are 432 positive integers (less than 1,314) that are coprime with 1,314. And there are approximately 215 prime numbers less than or equal to 1,314.

## Divisibility of 1314

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

The number 1,314 is divisible by 2, 3, 6 and 9.

• Abundant

• Polite

## Base conversion (1314)

Base System Value
2 Binary 10100100010
3 Ternary 1210200
4 Quaternary 110202
5 Quinary 20224
6 Senary 10030
8 Octal 2442
10 Decimal 1314
12 Duodecimal 916
20 Vigesimal 35e
36 Base36 10i

## Basic calculations (n = 1314)

### Multiplication

n×y
 n×2 2628 3942 5256 6570

### Division

n÷y
 n÷2 657 438 328.5 262.8

### Exponentiation

ny
 n2 1726596 2268747144 2981133747216 3917209743841824

### Nth Root

y√n
 2√n 36.2491 10.953 6.02073 4.20455

## 1314 as geometric shapes

### Circle

 Diameter 2628 8256.11 5.42426e+06

### Sphere

 Volume 9.50331e+09 2.1697e+07 8256.11

### Square

Length = n
 Perimeter 5256 1.7266e+06 1858.28

### Cube

Length = n
 Surface area 1.03596e+07 2.26875e+09 2275.91

### Equilateral Triangle

Length = n
 Perimeter 3942 747638 1137.96

### Triangular Pyramid

Length = n
 Surface area 2.99055e+06 2.67374e+08 1072.88

## Cryptographic Hash Functions

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