313274640 has 240 divisors, whose sum is σ = 1196923392. Its totient is φ = 67350528.

The previous prime is 313274639. The next prime is 313274683. The reversal of 313274640 is 46472313.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313274598 and 313274607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199137 + ... + 200703.

Almost surely, 2^313274640 is an apocalyptic number.

313274640 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 313274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598461696).

313274640 is an abundant number, since it is smaller than the sum of its proper divisors (883648752).

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

313274640 is a wasteful number, since it uses less digits than its factorization.

313274640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 313274640 is about 17699.5660963765. The cubic root of 313274640 is about 679.1646605300.

The spelling of 313274640 in words is "three hundred thirteen million, two hundred seventy-four thousand, six hundred forty".