312155040 has 96 divisors (see below), whose sum is σ = 994472640. Its totient is φ = 82294784.

The previous prime is 312155033. The next prime is 312155083. The reversal of 312155040 is 40551213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 312154998 and 312155016.

It is an unprimeable number.

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, 39067 + ... + 46373.

It is an arithmetic number, because the mean of its divisors is an integer number (10359090).

Almost surely, 2^312155040 is an apocalyptic number.

312155040 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 312155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497236320).

312155040 is an abundant number, since it is smaller than the sum of its proper divisors (682317600).

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

312155040 is a wasteful number, since it uses less digits than its factorization.

312155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 312155040 is about 17667.9098933632. The cubic root of 312155040 is about 678.3546147474.

The spelling of 312155040 in words is "three hundred twelve million, one hundred fifty-five thousand, forty".