320313312 has 96 divisors (see below), whose sum is σ = 1019208960. Its totient is φ = 97061760.

The previous prime is 320313307. The next prime is 320313313. The reversal of 320313312 is 213313023.

320313312 is a `hidden beast` number, since 320 + 31 + 3 + 312 = 666.

320313312 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 (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320313313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7348 + ... + 26355.

It is an arithmetic number, because the mean of its divisors is an integer number (10616760).

Almost surely, 2^320313312 is an apocalyptic number.

320313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320313312 is an abundant number, since it is smaller than the sum of its proper divisors (698895648).

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

320313312 is a wasteful number, since it uses less digits than its factorization.

320313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33733 (or 33719 counting only the distinct ones).

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

The square root of 320313312 is about 17897.2990140971. The cubic root of 320313312 is about 684.2135375148.

Adding to 320313312 its reverse (213313023), we get a palindrome (533626335).

The spelling of 320313312 in words is "three hundred twenty million, three hundred thirteen thousand, three hundred twelve".