312090030 has 128 divisors (see below), whose sum is σ = 967080960. Its totient is φ = 70139520.

The previous prime is 312089977. The next prime is 312090041. The reversal of 312090030 is 30090213.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312089985 and 312090012.

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, 113937 + ... + 116643.

It is an arithmetic number, because the mean of its divisors is an integer number (7555320).

Almost surely, 2^312090030 is an apocalyptic number.

312090030 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 312090030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483540480).

312090030 is an abundant number, since it is smaller than the sum of its proper divisors (654990930).

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

312090030 is a wasteful number, since it uses less digits than its factorization.

312090030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 312090030 is about 17666.0700213715. The cubic root of 312090030 is about 678.3075196721.

The spelling of 312090030 in words is "three hundred twelve million, ninety thousand, thirty".