313354152 has 48 divisors (see below), whose sum is σ = 854392500. Its totient is φ = 103746816.

The previous prime is 313354141. The next prime is 313354157. The reversal of 313354152 is 251453313.

It can be written as a sum of positive squares in 2 ways, for example, as 292615236 + 20738916 = 17106^2 + 4554^2 .

It is not an unprimeable number, because it can be changed into a prime (313354157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3877 + ... + 25332.

Almost surely, 2^313354152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313354152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427196250).

313354152 is an abundant number, since it is smaller than the sum of its proper divisors (541038348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313354152 is a wasteful number, since it uses less digits than its factorization.

313354152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29370 (or 29363 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 313354152 is about 17701.8121106287. The cubic root of 313354152 is about 679.2221150927. Note that the first 3 decimals are identical.

The spelling of 313354152 in words is "three hundred thirteen million, three hundred fifty-four thousand, one hundred fifty-two".