311396940 has 96 divisors (see below), whose sum is σ = 975226560. Its totient is φ = 82487808.

The previous prime is 311396929. The next prime is 311396963. The reversal of 311396940 is 49693113.

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

It is a junction number, because it is equal to n+sod(n) for n = 311396895 and 311396904.

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 31 ways as a sum of consecutive naturals, for example, 82944 + ... + 86616.

It is an arithmetic number, because the mean of its divisors is an integer number (10158610).

Almost surely, 2^311396940 is an apocalyptic number.

311396940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311396940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487613280).

311396940 is an abundant number, since it is smaller than the sum of its proper divisors (663829620).

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

311396940 is a wasteful number, since it uses less digits than its factorization.

311396940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 311396940 is about 17646.4427010092. The cubic root of 311396940 is about 677.8050187226.

The spelling of 311396940 in words is "three hundred eleven million, three hundred ninety-six thousand, nine hundred forty".