311856048 has 160 divisors (see below), whose sum is σ = 1029457920. Its totient is φ = 88542720.

The previous prime is 311856047. The next prime is 311856059. The reversal of 311856048 is 840658113.

311856048 is a `hidden beast` number, since 31 + 18 + 5 + 604 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (311856047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 849561 + ... + 849927.

It is an arithmetic number, because the mean of its divisors is an integer number (6434112).

Almost surely, 2^311856048 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 311856048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514728960).

311856048 is an abundant number, since it is smaller than the sum of its proper divisors (717601872).

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

311856048 is a wasteful number, since it uses less digits than its factorization.

311856048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 311856048 is about 17659.4464239398. The cubic root of 311856048 is about 678.1379623705.

311856048 divided by its sum of digits (36) gives a palindrome (8662668).

The spelling of 311856048 in words is "three hundred eleven million, eight hundred fifty-six thousand, forty-eight".