312970320 has 240 divisors, whose sum is σ = 1171956240. Its totient is φ = 74317824.

The previous prime is 312970319. The next prime is 312970331. The reversal of 312970320 is 23079213.

312970320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3069504 + 309900816 = 1752^2 + 17604^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270864 + ... + 272016.

It is an arithmetic number, because the mean of its divisors is an integer number (4883151).

Almost surely, 2^312970320 is an apocalyptic number.

312970320 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 312970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585978120).

312970320 is an abundant number, since it is smaller than the sum of its proper divisors (858985920).

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

312970320 is a wasteful number, since it uses less digits than its factorization.

312970320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 312970320 is about 17690.9671866747. The cubic root of 312970320 is about 678.9446721402.

The spelling of 312970320 in words is "three hundred twelve million, nine hundred seventy thousand, three hundred twenty".