311364020 has 48 divisors (see below), whose sum is σ = 750859200. Its totient is φ = 107262720.

The previous prime is 311364019. The next prime is 311364071. The reversal of 311364020 is 20463113.

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 = 311363983 and 311364001.

It is a congruent number.

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, 33065 + ... + 41424.

It is an arithmetic number, because the mean of its divisors is an integer number (15642900).

Almost surely, 2^311364020 is an apocalyptic number.

It is an amenable number.

311364020 is an abundant number, since it is smaller than the sum of its proper divisors (439495180).

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

311364020 is a wasteful number, since it uses less digits than its factorization.

311364020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74528 (or 74526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 311364020 is about 17645.5099104560. The cubic root of 311364020 is about 677.7811326737.

The spelling of 311364020 in words is "three hundred eleven million, three hundred sixty-four thousand, twenty".