311354420 has 48 divisors (see below), whose sum is σ = 709360848. Its totient is φ = 114109440.

The previous prime is 311354413. The next prime is 311354441. The reversal of 311354420 is 24453113.

It can be written as a sum of positive squares in 8 ways, for example, as 45859984 + 265494436 = 6772^2 + 16294^2 .

It is a congruent number.

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, 31250 + ... + 39990.

It is an arithmetic number, because the mean of its divisors is an integer number (14778351).

Almost surely, 2^311354420 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 311354420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354680424).

311354420 is an abundant number, since it is smaller than the sum of its proper divisors (398006428).

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

311354420 is a wasteful number, since it uses less digits than its factorization.

311354420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8900 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 311354420 is about 17645.2378844832. The cubic root of 311354420 is about 677.7741668017.

The spelling of 311354420 in words is "three hundred eleven million, three hundred fifty-four thousand, four hundred twenty".