312676100 has 54 divisors (see below), whose sum is σ = 745825962. Its totient is φ = 113696000.

The previous prime is 312676093. The next prime is 312676129. The reversal of 312676100 is 1676213.

It can be written as a sum of positive squares in 3 ways, for example, as 5234944 + 307441156 = 2288^2 + 17534^2 .

It is a super-2 number, since 2×312676100² = 195532687022420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312676100.

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 17 ways as a sum of consecutive naturals, for example, 821 + ... + 25020.

Almost surely, 2^312676100 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 312676100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372912981).

312676100 is an abundant number, since it is smaller than the sum of its proper divisors (433149862).

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

312676100 is a wasteful number, since it uses less digits than its factorization.

312676100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25877 (or 25859 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 312676100 is about 17682.6496883244. The cubic root of 312676100 is about 678.7318492637.

The spelling of 312676100 in words is "three hundred twelve million, six hundred seventy-six thousand, one hundred".