313412320 has 96 divisors (see below), whose sum is σ = 812724192. Its totient is φ = 113498112.

The previous prime is 313412303. The next prime is 313412321. The reversal of 313412320 is 23214313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313412321) 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 15 ways as a sum of consecutive naturals, for example, 108819 + ... + 111661.

It is an arithmetic number, because the mean of its divisors is an integer number (8465877).

Almost surely, 2^313412320 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 313412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406362096).

313412320 is an abundant number, since it is smaller than the sum of its proper divisors (499311872).

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

313412320 is a wasteful number, since it uses less digits than its factorization.

313412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 313412320 is about 17703.4550300217. The cubic root of 313412320 is about 679.2641405425.

Adding to 313412320 its reverse (23214313), we get a palindrome (336626633).

The spelling of 313412320 in words is "three hundred thirteen million, four hundred twelve thousand, three hundred twenty".