312304000 has 128 divisors (see below), whose sum is σ = 787644000. Its totient is φ = 123136000.

The previous prime is 312303997. The next prime is 312304009. The reversal of 312304000 is 403213.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312304009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095926 + ... + 2096074.

Almost surely, 2^312304000 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 312304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393822000).

312304000 is an abundant number, since it is smaller than the sum of its proper divisors (475340000).

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

312304000 is a wasteful number, since it uses less digits than its factorization.

312304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 312304000 is about 17672.1249429716. The cubic root of 312304000 is about 678.4625009166.

Adding to 312304000 its reverse (403213), we get a palindrome (312707213).

The spelling of 312304000 in words is "three hundred twelve million, three hundred four thousand".