312673296 has 120 divisors (see below), whose sum is σ = 893859456. Its totient is φ = 93623040.

The previous prime is 312673261. The next prime is 312673297. The reversal of 312673296 is 692376213.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (312673297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153641 + ... + 1153911.

Almost surely, 2^312673296 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 312673296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446929728).

312673296 is an abundant number, since it is smaller than the sum of its proper divisors (581186160).

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

312673296 is a wasteful number, since it uses less digits than its factorization.

312673296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 332 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 312673296 is about 17682.5704013868. The cubic root of 312673296 is about 678.7298203593.

The spelling of 312673296 in words is "three hundred twelve million, six hundred seventy-three thousand, two hundred ninety-six".