311427072 has 168 divisors, whose sum is σ = 1006632480. Its totient is φ = 94371840.

The previous prime is 311427059. The next prime is 311427073. The reversal of 311427072 is 270724113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (311427073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28311547 + ... + 28311557.

It is an arithmetic number, because the mean of its divisors is an integer number (5991860).

Almost surely, 2^311427072 is an apocalyptic number.

311427072 is a gapful number since it is divisible by the number (32) 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 311427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503316240).

311427072 is an abundant number, since it is smaller than the sum of its proper divisors (695205408).

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

311427072 is an frugal number, since it uses more digits than its factorization.

311427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 311427072 is about 17647.2964501648. The cubic root of 311427072 is about 677.8268803826.

The spelling of 311427072 in words is "three hundred eleven million, four hundred twenty-seven thousand, seventy-two".