311334320 has 80 divisors (see below), whose sum is σ = 809010720. Its totient is φ = 110438400.

The previous prime is 311334313. The next prime is 311334337. The reversal of 311334320 is 23433113.

311334320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 311334292 and 311334301.

It is an unprimeable number.

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, 31766 + ... + 40394.

It is an arithmetic number, because the mean of its divisors is an integer number (10112634).

Almost surely, 2^311334320 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 311334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404505360).

311334320 is an abundant number, since it is smaller than the sum of its proper divisors (497676400).

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

311334320 is a wasteful number, since it uses less digits than its factorization.

311334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 311334320 is about 17644.6683165199. The cubic root of 311334320 is about 677.7595815434.

Adding to 311334320 its reverse (23433113), we get a palindrome (334767433).

It can be divided in two parts, 31133 and 4320, that added together give a palindrome (35453).

The spelling of 311334320 in words is "three hundred eleven million, three hundred thirty-four thousand, three hundred twenty".