313332948 has 42 divisors (see below), whose sum is σ = 822130554. Its totient is φ = 104443344.

The previous prime is 313332931. The next prime is 313332949. The reversal of 313332948 is 849233313.

313332948 is a `hidden beast` number, since 31 + 333 + 294 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 200165904 + 113167044 = 14148^2 + 10638^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313332949) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 50811 + ... + 56642.

It is an arithmetic number, because the mean of its divisors is an integer number (19574537).

Almost surely, 2^313332948 is an apocalyptic number.

It is an amenable number.

313332948 is an abundant number, since it is smaller than the sum of its proper divisors (508797606).

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

313332948 is a wasteful number, since it uses less digits than its factorization.

313332948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107475 (or 107458 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 313332948 is about 17701.2131787626. The cubic root of 313332948 is about 679.2067942484.

The spelling of 313332948 in words is "three hundred thirteen million, three hundred thirty-two thousand, nine hundred forty-eight".