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312400000 = 27551171

312400000 has 192 divisors, whose sum is σ = 860569920. Its totient is φ = 112000000.

The previous prime is 312399937. The next prime is 312400001. The reversal of 312400000 is 4213.

312400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 312400000.

It is not an unprimeable number, because it can be changed into a prime (312400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4399965 + ... + 4400035.

It is an arithmetic number, because the mean of its divisors is an integer number (4482135).

Almost surely, 2312400000 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 312400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430284960).

312400000 is an abundant number, since it is smaller than the sum of its proper divisors (548169920).

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

312400000 is an frugal number, since it uses more digits than its factorization.

312400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 312400000 is about 17674.8408762286. The cubic root of 312400000 is about 678.5320119566.

Adding to 312400000 its reverse (4213), we get a palindrome (312404213).

The spelling of 312400000 in words is "three hundred twelve million, four hundred thousand".