311940 has 36 divisors (see below), whose sum is σ = 946764. Its totient is φ = 83136.

The previous prime is 311897. The next prime is 311951. The reversal of 311940 is 49113.

311940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 186624 = 354^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (26299).

2³¹¹⁹⁴⁰ is an apocalyptic number.

311940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311940 is an abundant number, since it is smaller than the sum of its proper divisors (634824).

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

311940 is a wasteful number, since it uses less digits than its factorization.

311940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 311940 is about 558.5158905528. The cubic root of 311940 is about 67.8198808746.

The spelling of 311940 in words is "three hundred eleven thousand, nine hundred forty".