311424140 has 48 divisors (see below), whose sum is σ = 704471040. Its totient is φ = 115304640.

The previous prime is 311424137. The next prime is 311424149. The reversal of 311424140 is 41424113.

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

It is not an unprimeable number, because it can be changed into a prime (311424149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3341 + ... + 25179.

It is an arithmetic number, because the mean of its divisors is an integer number (14676480).

Almost surely, 2^311424140 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 311424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

311424140 is an abundant number, since it is smaller than the sum of its proper divisors (393046900).

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

311424140 is a wasteful number, since it uses less digits than its factorization.

311424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21902 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 311424140 is about 17647.2133777546. The cubic root of 311424140 is about 677.8247531915.

Adding to 311424140 its reverse (41424113), we get a palindrome (352848253).

The spelling of 311424140 in words is "three hundred eleven million, four hundred twenty-four thousand, one hundred forty".