311354320 has 80 divisors (see below), whose sum is σ = 782949888. Its totient is φ = 114698240.

The previous prime is 311354317. The next prime is 311354333. The reversal of 311354320 is 23453113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 311354291 and 311354300.

It is a congruent number.

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, 61485 + ... + 66355.

Almost surely, 2^311354320 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 311354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391474944).

311354320 is an abundant number, since it is smaller than the sum of its proper divisors (471595568).

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

311354320 is a wasteful number, since it uses less digits than its factorization.

311354320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 311354320 is about 17645.2350508572. The cubic root of 311354320 is about 677.7740942398.

The spelling of 311354320 in words is "three hundred eleven million, three hundred fifty-four thousand, three hundred twenty".