311421330 has 72 divisors (see below), whose sum is σ = 890026956. Its totient is φ = 75493440.

The previous prime is 311421329. The next prime is 311421337. The reversal of 311421330 is 33124113.

311421330 is a `hidden beast` number, since 311 + 4 + 21 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 286591041 + 24830289 = 16929^2 + 4983^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311421337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3409 + ... + 25188.

Almost surely, 2^311421330 is an apocalyptic number.

311421330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311421330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445013478).

311421330 is an abundant number, since it is smaller than the sum of its proper divisors (578605626).

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

311421330 is a wasteful number, since it uses less digits than its factorization.

311421330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28632 (or 28618 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 311421330 is about 17647.1337616056. The cubic root of 311421330 is about 677.8227145000.

Adding to 311421330 its reverse (33124113), we get a palindrome (344545443).

The spelling of 311421330 in words is "three hundred eleven million, four hundred twenty-one thousand, three hundred thirty".