312749640 has 256 divisors, whose sum is σ = 1221696000. Its totient is φ = 69672960.

The previous prime is 312749639. The next prime is 312749711. The reversal of 312749640 is 46947213.

312749640 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 4 + 9 + 640 = 666.

312749640 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 a junction number, because it is equal to n+sod(n) for n = 312749595 and 312749604.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 309456 + ... + 310464.

It is an arithmetic number, because the mean of its divisors is an integer number (4772250).

Almost surely, 2^312749640 is an apocalyptic number.

312749640 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 312749640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610848000).

312749640 is an abundant number, since it is smaller than the sum of its proper divisors (908946360).

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

312749640 is a wasteful number, since it uses less digits than its factorization.

312749640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 312749640 is about 17684.7290055573. The cubic root of 312749640 is about 678.7850566430.

The spelling of 312749640 in words is "three hundred twelve million, seven hundred forty-nine thousand, six hundred forty".