311345856 has 280 divisors, whose sum is σ = 1014222000. Its totient is φ = 94058496.

The previous prime is 311345831. The next prime is 311345869. The reversal of 311345856 is 658543113.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 311345856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2856330 + ... + 2856438.

Almost surely, 2^311345856 is an apocalyptic number.

311345856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507111000).

311345856 is an abundant number, since it is smaller than the sum of its proper divisors (702876144).

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

311345856 is a wasteful number, since it uses less digits than its factorization.

311345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 311345856 is about 17644.9952111073. The cubic root of 311345856 is about 677.7679525425.

Adding to 311345856 its reverse (658543113), we get a palindrome (969888969).

The spelling of 311345856 in words is "three hundred eleven million, three hundred forty-five thousand, eight hundred fifty-six".