313260048 has 140 divisors (see below), whose sum is σ = 922159728. Its totient is φ = 103032000.

The previous prime is 313259993. The next prime is 313260061. The reversal of 313260048 is 840062313.

It is a happy number.

313260048 is a `hidden beast` number, since 3 + 13 + 2 + 600 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 1247923 + ... + 1248173.

Almost surely, 2^313260048 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 313260048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461079864).

313260048 is an abundant number, since it is smaller than the sum of its proper divisors (608899680).

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

313260048 is a wasteful number, since it uses less digits than its factorization.

313260048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 313260048 is about 17699.1538780813. The cubic root of 313260048 is about 679.1541154434.

The spelling of 313260048 in words is "three hundred thirteen million, two hundred sixty thousand, forty-eight".