312353352 has 96 divisors (see below), whose sum is σ = 869806080. Its totient is φ = 101214720.

The previous prime is 312353351. The next prime is 312353401. The reversal of 312353352 is 253353213.

312353352 is a `hidden beast` number, since 3 + 123 + 533 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (312353351) 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 23 ways as a sum of consecutive naturals, for example, 815353 + ... + 815735.

It is an arithmetic number, because the mean of its divisors is an integer number (9060480).

Almost surely, 2^312353352 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 312353352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434903040).

312353352 is an abundant number, since it is smaller than the sum of its proper divisors (557452728).

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

312353352 is a wasteful number, since it uses less digits than its factorization.

312353352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 676 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 312353352 is about 17673.5212111226. The cubic root of 312353352 is about 678.4982371626.

The spelling of 312353352 in words is "three hundred twelve million, three hundred fifty-three thousand, three hundred fifty-two".