312430000 has 100 divisors (see below), whose sum is σ = 765067600. Its totient is φ = 123552000.

The previous prime is 312429989. The next prime is 312430037. The reversal of 312430000 is 34213.

312430000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×312430000² = 195225009800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1569901 + ... + 1570099.

It is an arithmetic number, because the mean of its divisors is an integer number (7650676).

Almost surely, 2^312430000 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 312430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382533800).

312430000 is an abundant number, since it is smaller than the sum of its proper divisors (452637600).

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

312430000 is a wasteful number, since it uses less digits than its factorization.

312430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

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

The square root of 312430000 is about 17675.6895197896. The cubic root of 312430000 is about 678.5537312361.

Adding to 312430000 its reverse (34213), we get a palindrome (312464213).

It can be divided in two parts, 3124 and 30000, that added together give a square (33124 = 182²).

The spelling of 312430000 in words is "three hundred twelve million, four hundred thirty thousand".