313389968 has 40 divisors (see below), whose sum is σ = 644431968. Its totient is φ = 147128832.

The previous prime is 313389961. The next prime is 313389983. The reversal of 313389968 is 869983313.

It is not an unprimeable number, because it can be changed into a prime (313389961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141155 + ... + 143357.

Almost surely, 2^313389968 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 313389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322215984).

313389968 is an abundant number, since it is smaller than the sum of its proper divisors (331042000).

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

313389968 is a wasteful number, since it uses less digits than its factorization.

313389968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2745 counting only the distinct ones).

The product of its digits is 839808, while the sum is 50.

The square root of 313389968 is about 17702.8237295636. The cubic root of 313389968 is about 679.2479921952.

The spelling of 313389968 in words is "three hundred thirteen million, three hundred eighty-nine thousand, nine hundred sixty-eight".