312005304 has 128 divisors (see below), whose sum is σ = 974131200. Its totient is φ = 91808640.

The previous prime is 312005303. The next prime is 312005333. The reversal of 312005304 is 403500213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312005303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62169 + ... + 66999.

It is an arithmetic number, because the mean of its divisors is an integer number (7610400).

Almost surely, 2^312005304 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 312005304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487065600).

312005304 is an abundant number, since it is smaller than the sum of its proper divisors (662125896).

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

312005304 is a wasteful number, since it uses less digits than its factorization.

312005304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 312005304 is about 17663.6718719523. The cubic root of 312005304 is about 678.2461319540.

Adding to 312005304 its reverse (403500213), we get a palindrome (715505517).

The spelling of 312005304 in words is "three hundred twelve million, five thousand, three hundred four".