313536048 has 80 divisors (see below), whose sum is σ = 947248896. Its totient is φ = 87494400.

The previous prime is 313536029. The next prime is 313536059. The reversal of 313536048 is 840635313.

It is a super-3 number, since 3×313536048³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3598 + ... + 25298.

Almost surely, 2^313536048 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 313536048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473624448).

313536048 is an abundant number, since it is smaller than the sum of its proper divisors (633712848).

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

313536048 is a wasteful number, since it uses less digits than its factorization.

313536048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21762 (or 21756 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 313536048 is about 17706.9491443331. The cubic root of 313536048 is about 679.3535147535.

It can be divided in two parts, 31353 and 6048, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 313536048 in words is "three hundred thirteen million, five hundred thirty-six thousand, forty-eight".