313345968 has 80 divisors (see below), whose sum is σ = 874214880. Its totient is φ = 96141312.

The previous prime is 313345931. The next prime is 313345979. The reversal of 313345968 is 869543313.

Its product of digits (233280) is a multiple of the sum of its prime divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407088 + ... + 407856.

It is an arithmetic number, because the mean of its divisors is an integer number (10927686).

Almost surely, 2^313345968 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 313345968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437107440).

313345968 is an abundant number, since it is smaller than the sum of its proper divisors (560868912).

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

313345968 is a wasteful number, since it uses less digits than its factorization.

313345968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1440 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 313345968 is about 17701.5809463449. The cubic root of 313345968 is about 679.2162018663.

The spelling of 313345968 in words is "three hundred thirteen million, three hundred forty-five thousand, nine hundred sixty-eight".