312825030 has 128 divisors (see below), whose sum is σ = 916807680. Its totient is φ = 66769920.

The previous prime is 312824983. The next prime is 312825067. The reversal of 312825030 is 30528213.

312825030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 187962 + ... + 189618.

It is an arithmetic number, because the mean of its divisors is an integer number (7162560).

Almost surely, 2^312825030 is an apocalyptic number.

312825030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312825030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458403840).

312825030 is an abundant number, since it is smaller than the sum of its proper divisors (603982650).

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

312825030 is a wasteful number, since it uses less digits than its factorization.

312825030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 312825030 is about 17686.8603771274. The cubic root of 312825030 is about 678.8395938697.

The spelling of 312825030 in words is "three hundred twelve million, eight hundred twenty-five thousand, thirty".