312359040 has 384 divisors, whose sum is σ = 1262776320. Its totient is φ = 69672960.

The previous prime is 312358987. The next prime is 312359077. The reversal of 312359040 is 40953213.

312359040 is a `hidden beast` number, since 31 + 2 + 3 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 312358995 and 312359013.

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 47 ways as a sum of consecutive naturals, for example, 2459457 + ... + 2459583.

It is an arithmetic number, because the mean of its divisors is an integer number (3288480).

Almost surely, 2^312359040 is an apocalyptic number.

312359040 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 312359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631388160).

312359040 is an abundant number, since it is smaller than the sum of its proper divisors (950417280).

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

312359040 is a wasteful number, since it uses less digits than its factorization.

312359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 312359040 is about 17673.6821290867. The cubic root of 312359040 is about 678.5023556549.

The spelling of 312359040 in words is "three hundred twelve million, three hundred fifty-nine thousand, forty".