312395040 has 144 divisors (see below), whose sum is σ = 1070681976. Its totient is φ = 82944000.

The previous prime is 312395023. The next prime is 312395053. The reversal of 312395040 is 40593213.

It can be written as a sum of positive squares in 4 ways, for example, as 303177744 + 9217296 = 17412^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×312395040² = 195181322033203200, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 312394995 and 312395013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577170 + ... + 577710.

Almost surely, 2^312395040 is an apocalyptic number.

312395040 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 312395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535340988).

312395040 is an abundant number, since it is smaller than the sum of its proper divisors (758286936).

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

312395040 is a wasteful number, since it uses less digits than its factorization.

312395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 952 counting only the distinct ones).

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

The square root of 312395040 is about 17674.7005632344. The cubic root of 312395040 is about 678.5284209017.

The spelling of 312395040 in words is "three hundred twelve million, three hundred ninety-five thousand, forty".