312000000 has 280 divisors, whose sum is σ = 1118891928. Its totient is φ = 76800000.

The previous prime is 311999999. The next prime is 312000019. The reversal of 312000000 is 213.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 23999994 + ... + 24000006.

Almost surely, 2^312000000 is an apocalyptic number.

312000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559445964).

312000000 is an abundant number, since it is smaller than the sum of its proper divisors (806891928).

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

312000000 is an frugal number, since it uses more digits than its factorization.

312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 312000000 is about 17663.5217326557. The cubic root of 312000000 is about 678.2422886028.

Adding to 312000000 its reverse (213), we get a palindrome (312000213).

It can be divided in two parts, 3 and 12000000, that multiplied together give a square (36000000 = 6000²).

The spelling of 312000000 in words is "three hundred twelve million", and thus it is an aban number.