312416130 has 128 divisors (see below), whose sum is σ = 872363520. Its totient is φ = 70963200.

The previous prime is 312416119. The next prime is 312416149. The reversal of 312416130 is 31614213.

312416130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312416097 and 312416106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259530 + ... + 260730.

It is an arithmetic number, because the mean of its divisors is an integer number (6815340).

Almost surely, 2^312416130 is an apocalyptic number.

312416130 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 312416130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436181760).

312416130 is an abundant number, since it is smaller than the sum of its proper divisors (559947390).

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

312416130 is a wasteful number, since it uses less digits than its factorization.

312416130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 312416130 is about 17675.2971686475. The cubic root of 312416130 is about 678.5436898620.

The spelling of 312416130 in words is "three hundred twelve million, four hundred sixteen thousand, one hundred thirty".