311399712 has 144 divisors (see below), whose sum is σ = 984791808. Its totient is φ = 92689920.

The previous prime is 311399701. The next prime is 311399713. The reversal of 311399712 is 217993113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (311399713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114723 + ... + 117405.

It is an arithmetic number, because the mean of its divisors is an integer number (6838832).

Almost surely, 2^311399712 is an apocalyptic number.

311399712 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 311399712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492395904).

311399712 is an abundant number, since it is smaller than the sum of its proper divisors (673392096).

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

311399712 is a wasteful number, since it uses less digits than its factorization.

311399712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2732 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 311399712 is about 17646.5212435766. The cubic root of 311399712 is about 677.8070299497.

The spelling of 311399712 in words is "three hundred eleven million, three hundred ninety-nine thousand, seven hundred twelve".