311481936 has 50 divisors (see below), whose sum is σ = 901522842. Its totient is φ = 103826880.

The previous prime is 311481931. The next prime is 311481941. The reversal of 311481936 is 639184113.

It is an interprime number because it is at equal distance from previous prime (311481931) and next prime (311481941).

It can be written as a sum of positive squares in only one way, i.e., 267126336 + 44355600 = 16344^2 + 6660^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 311481936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311481931) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 118875 + ... + 121466.

Almost surely, 2^311481936 is an apocalyptic number.

311481936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

311481936 is an abundant number, since it is smaller than the sum of its proper divisors (590040906).

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

311481936 is a wasteful number, since it uses less digits than its factorization.

311481936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240361 (or 240346 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 311481936 is about 17648.8508407771. The cubic root of 311481936 is about 677.8666822214.

The spelling of 311481936 in words is "three hundred eleven million, four hundred eighty-one thousand, nine hundred thirty-six".