311314304 has 64 divisors (see below), whose sum is σ = 733298400. Its totient is φ = 128808960.

The previous prime is 311314301. The next prime is 311314313. The reversal of 311314304 is 403413113.

311314304 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311314301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19994 + ... + 31974.

Almost surely, 2^311314304 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 311314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366649200).

311314304 is an abundant number, since it is smaller than the sum of its proper divisors (421984096).

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

311314304 is a wasteful number, since it uses less digits than its factorization.

311314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12031 (or 12019 counting only the distinct ones).

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

The square root of 311314304 is about 17644.1011105695. The cubic root of 311314304 is about 677.7450566146.

Adding to 311314304 its reverse (403413113), we get a palindrome (714727417).

The spelling of 311314304 in words is "three hundred eleven million, three hundred fourteen thousand, three hundred four".