312360030 has 128 divisors (see below), whose sum is σ = 874229760. Its totient is φ = 79263360.

The previous prime is 312360029. The next prime is 312360043. The reversal of 312360030 is 30063213.

It is a happy number.

312360030 is a `hidden beast` number, since 31 + 2 + 3 + 600 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312359985 and 312360012.

It is a congruent number.

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, 560512 + ... + 561068.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2^312360030 is an apocalyptic number.

312360030 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 312360030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437114880).

312360030 is an abundant number, since it is smaller than the sum of its proper divisors (561869730).

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

312360030 is a wasteful number, since it uses less digits than its factorization.

312360030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 312360030 is about 17673.7101368106. The cubic root of 312360030 is about 678.5030724759.

The spelling of 312360030 in words is "three hundred twelve million, three hundred sixty thousand, thirty".