313970048 has 96 divisors (see below), whose sum is σ = 735703560. Its totient is φ = 133066752.

The previous prime is 313970029. The next prime is 313970051. The reversal of 313970048 is 840079313.

It is a super-5 number, since 5×313970048⁵ (a number of 44 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708515 + ... + 708957.

Almost surely, 2^313970048 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 313970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367851780).

313970048 is an abundant number, since it is smaller than the sum of its proper divisors (421733512).

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

313970048 is a wasteful number, since it uses less digits than its factorization.

313970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 313970048 is about 17719.1999819405. The cubic root of 313970048 is about 679.6668264039. Note that the first 3 decimals are identical.

The spelling of 313970048 in words is "three hundred thirteen million, nine hundred seventy thousand, forty-eight".