311332320 has 144 divisors (see below), whose sum is σ = 1144215072. Its totient is φ = 76631040.

The previous prime is 311332303. The next prime is 311332327. The reversal of 311332320 is 23233113.

311332320 is a `hidden beast` number, since 3 + 11 + 332 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 311332293 and 311332302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311332327) 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 23 ways as a sum of consecutive naturals, for example, 10405 + ... + 27035.

It is an arithmetic number, because the mean of its divisors is an integer number (7945938).

Almost surely, 2^311332320 is an apocalyptic number.

311332320 is a gapful number since it is divisible by the number (30) 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 311332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572107536).

311332320 is an abundant number, since it is smaller than the sum of its proper divisors (832882752).

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

311332320 is a wasteful number, since it uses less digits than its factorization.

311332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16665 (or 16654 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 311332320 is about 17644.6116420850. The cubic root of 311332320 is about 677.7581302396.

Adding to 311332320 its reverse (23233113), we get a palindrome (334565433).

The spelling of 311332320 in words is "three hundred eleven million, three hundred thirty-two thousand, three hundred twenty".