312251016 has 128 divisors (see below), whose sum is σ = 1024588800. Its totient is φ = 76826880.

The previous prime is 312251011. The next prime is 312251041. The reversal of 312251016 is 610152213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 312250983 and 312251001.

It is not an unprimeable number, because it can be changed into a prime (312251011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30666 + ... + 39558.

It is an arithmetic number, because the mean of its divisors is an integer number (8004600).

Almost surely, 2^312251016 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 312251016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512294400).

312251016 is an abundant number, since it is smaller than the sum of its proper divisors (712337784).

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

312251016 is a wasteful number, since it uses less digits than its factorization.

312251016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939 (or 8935 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 312251016 is about 17670.6257953701. The cubic root of 312251016 is about 678.4241305144.

The spelling of 312251016 in words is "three hundred twelve million, two hundred fifty-one thousand, sixteen".