311424 has 32 divisors (see below), whose sum is σ = 828240. Its totient is φ = 103680.

The previous prime is 311419. The next prime is 311447. The reversal of 311424 is 424113.

311424 = 182² + 183² + ... + 190².

311424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311424.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 789.

2³¹¹⁴²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414120).

311424 is an abundant number, since it is smaller than the sum of its proper divisors (516816).

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

311424 is an equidigital number, since it uses as much as digits as its factorization.

311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 311424 is about 558.0537608510. The cubic root of 311424 is about 67.7824651620.

Adding to 311424 its reverse (424113), we get a palindrome (735537).

It can be divided in two parts, 31 and 1424, that multiplied together give a palindrome (44144).

The spelling of 311424 in words is "three hundred eleven thousand, four hundred twenty-four", and thus it is an iban number.