313734560 has 48 divisors (see below), whose sum is σ = 755203176. Its totient is φ = 123122688.

The previous prime is 313734527. The next prime is 313734563. The reversal of 313734560 is 65437313.

313734560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 299566864 + 14167696 = 17308^2 + 3764^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (313734563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10019 + ... + 26978.

Almost surely, 2^313734560 is an apocalyptic number.

It is an amenable number.

313734560 is an abundant number, since it is smaller than the sum of its proper divisors (441468616).

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

313734560 is a wasteful number, since it uses less digits than its factorization.

313734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37065 (or 37057 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 313734560 is about 17712.5537402149. The cubic root of 313734560 is about 679.4968596460.

The spelling of 313734560 in words is "three hundred thirteen million, seven hundred thirty-four thousand, five hundred sixty".