# 318349 (number)

318,349 (three hundred eighteen thousand three hundred forty-nine) is an odd six-digits prime number following 318348 and preceding 318350. In scientific notation, it is written as 3.18349 × 105. The sum of its digits is 28. It has a total of 1 prime factor and 2 positive divisors. There are 318,348 positive integers (up to 318349) that are relatively prime to 318349.

## Basic properties

• Is Prime? Yes
• Number parity Odd
• Number length 6
• Sum of Digits 28
• Digital Root 1

## Name

Short name 318 thousand 349 three hundred eighteen thousand three hundred forty-nine

## Notation

Scientific notation 3.18349 × 105 318.349 × 103

## Prime Factorization of 318349

Prime Factorization 318349

Prime number
Distinct Factors Total Factors Radical ω(n) 1 Total number of distinct prime factors Ω(n) 1 Total number of prime factors rad(n) 318349 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) -1 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) 12.6709 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 318,349 is 318349. Since it has a total of 1 prime factor, 318,349 is a prime number.

## Divisors of 318349

2 divisors

 Even divisors 0 2 2 0
Total Divisors Sum of Divisors Aliquot Sum τ(n) 2 Total number of the positive divisors of n σ(n) 318350 Sum of all the positive divisors of n s(n) 1 Sum of the proper positive divisors of n A(n) 159175 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 564.224 Returns the nth root of the product of n divisors H(n) 1.99999 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 318,349 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 318,349) is 318,350, the average is 159,175.

## Other Arithmetic Functions (n = 318349)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 318348 Total number of positive integers not greater than n that are coprime to n λ(n) 318348 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 27404 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 318,348 positive integers (less than 318,349) that are coprime with 318,349. And there are approximately 27,404 prime numbers less than or equal to 318,349.

## Divisibility of 318349

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

318,349 is not divisible by any number less than or equal to 9.

• Arithmetic
• Prime
• Deficient

• Polite

• Prime Power
• Square Free

## Base conversion (318349)

Base System Value
2 Binary 1001101101110001101
3 Ternary 121011200201
4 Quaternary 1031232031
5 Quinary 40141344
6 Senary 10453501
8 Octal 1155615
10 Decimal 318349
12 Duodecimal 134291
20 Vigesimal 1jfh9
36 Base36 6tn1

## Basic calculations (n = 318349)

### Multiplication

n×y
 n×2 636698 955047 1273396 1591745

### Division

n÷y
 n÷2 159174 106116 79587.2 63669.8

### Exponentiation

ny
 n2 101346085801 32263425068662549 10271029107183653811601 3269771845242809007269366749

### Nth Root

y√n
 2√n 564.224 68.2812 23.7534 12.6061

## 318349 as geometric shapes

### Circle

 Diameter 636698 2.00025e+06 3.18388e+11

### Sphere

 Volume 1.35145e+17 1.27355e+12 2.00025e+06

### Square

Length = n
 Perimeter 1.2734e+06 1.01346e+11 450213

### Cube

Length = n
 Surface area 6.08077e+11 3.22634e+16 551397

### Equilateral Triangle

Length = n
 Perimeter 955047 4.38841e+10 275698

### Triangular Pyramid

Length = n
 Surface area 1.75537e+11 3.80228e+15 259931
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