313098240 has 384 divisors, whose sum is σ = 1255126320. Its totient is φ = 66060288.

The previous prime is 313098229. The next prime is 313098271. The reversal of 313098240 is 42890313.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 313098198 and 313098207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24084474 + ... + 24084486.

Almost surely, 2^313098240 is an apocalyptic number.

313098240 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 313098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627563160).

313098240 is an abundant number, since it is smaller than the sum of its proper divisors (942028080).

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

313098240 is an equidigital number, since it uses as much as digits as its factorization.

313098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 313098240 is about 17694.5822216858. The cubic root of 313098240 is about 679.0371609661.

The spelling of 313098240 in words is "three hundred thirteen million, ninety-eight thousand, two hundred forty".