311274240 has 144 divisors (see below), whose sum is σ = 1005059328. Its totient is φ = 82096128.

The previous prime is 311274239. The next prime is 311274241. The reversal of 311274240 is 42472113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311274239) and next prime (311274241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 311274240.

It is not an unprimeable number, because it can be changed into a prime (311274241) 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 15 ways as a sum of consecutive naturals, for example, 395127 + ... + 395913.

Almost surely, 2^311274240 is an apocalyptic number.

311274240 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 311274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502529664).

311274240 is an abundant number, since it is smaller than the sum of its proper divisors (693785088).

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

311274240 is a wasteful number, since it uses less digits than its factorization.

311274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 311274240 is about 17642.9657370863. The cubic root of 311274240 is about 677.7159816652.

The spelling of 311274240 in words is "three hundred eleven million, two hundred seventy-four thousand, two hundred forty".