312736320 has 168 divisors, whose sum is σ = 1158566136. Its totient is φ = 76972032.

The previous prime is 312736309. The next prime is 312736331. The reversal of 312736320 is 23637213.

312736320 is a `hidden beast` number, since 3 + 1 + 27 + 3 + 632 + 0 = 666.

312736320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312736309) and next prime (312736331).

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 299428416 = 3648^2 + 17304^2 .

It is an unprimeable number.

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, 33264 + ... + 41616.

It is an arithmetic number, because the mean of its divisors is an integer number (6896227).

Almost surely, 2^312736320 is an apocalyptic number.

312736320 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 312736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579283068).

312736320 is an abundant number, since it is smaller than the sum of its proper divisors (845829816).

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

312736320 is a wasteful number, since it uses less digits than its factorization.

312736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 312736320 is about 17684.3524054459. The cubic root of 312736320 is about 678.7754200262.

The spelling of 312736320 in words is "three hundred twelve million, seven hundred thirty-six thousand, three hundred twenty".