311324420 has 48 divisors (see below), whose sum is σ = 720328896. Its totient is φ = 112080000.

The previous prime is 311324393. The next prime is 311324459. The reversal of 311324420 is 24423113.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 311324392 and 311324401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15215 + ... + 29225.

It is an arithmetic number, because the mean of its divisors is an integer number (15006852).

Almost surely, 2^311324420 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 311324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360164448).

311324420 is an abundant number, since it is smaller than the sum of its proper divisors (409004476).

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

311324420 is a wasteful number, since it uses less digits than its factorization.

311324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14132 (or 14130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 311324420 is about 17644.3877762874. The cubic root of 311324420 is about 677.7523975287.

Adding to 311324420 its reverse (24423113), we get a palindrome (335747533).

The spelling of 311324420 in words is "three hundred eleven million, three hundred twenty-four thousand, four hundred twenty".