311279040 has 168 divisors, whose sum is σ = 1107887040. Its totient is φ = 80123904.

The previous prime is 311278997. The next prime is 311279063. The reversal of 311279040 is 40972113.

It is a junction number, because it is equal to n+sod(n) for n = 311278995 and 311279013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81657 + ... + 85383.

Almost surely, 2^311279040 is an apocalyptic number.

311279040 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 311279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553943520).

311279040 is an abundant number, since it is smaller than the sum of its proper divisors (796608000).

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

311279040 is a wasteful number, since it uses less digits than its factorization.

311279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 311279040 is about 17643.1017681132. The cubic root of 311279040 is about 677.7194652172.

The spelling of 311279040 in words is "three hundred eleven million, two hundred seventy-nine thousand, forty".