312945552 has 80 divisors (see below), whose sum is σ = 917441280. Its totient is φ = 102089088.

The previous prime is 312945533. The next prime is 312945553. The reversal of 312945552 is 255549213.

It is a happy number.

312945552 is a `hidden beast` number, since 3 + 12 + 94 + 5 + 552 = 666.

312945552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312945553) 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 15 ways as a sum of consecutive naturals, for example, 12598 + ... + 28010.

It is an arithmetic number, because the mean of its divisors is an integer number (11468016).

Almost surely, 2^312945552 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 312945552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458720640).

312945552 is an abundant number, since it is smaller than the sum of its proper divisors (604495728).

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

312945552 is a wasteful number, since it uses less digits than its factorization.

312945552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15477 (or 15465 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 312945552 is about 17690.2671545684. The cubic root of 312945552 is about 678.9267614479.

The spelling of 312945552 in words is "three hundred twelve million, nine hundred forty-five thousand, five hundred fifty-two".