312014430 has 384 divisors, whose sum is σ = 1109541888. Its totient is φ = 61212672.

The previous prime is 312014429. The next prime is 312014449. The reversal of 312014430 is 34410213.

312014430 is a `hidden beast` number, since 31 + 201 + 4 + 430 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3759169 + ... + 3759251.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^312014430 is an apocalyptic number.

312014430 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 312014430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554770944).

312014430 is an abundant number, since it is smaller than the sum of its proper divisors (797527458).

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

312014430 is a wasteful number, since it uses less digits than its factorization.

312014430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312014430 is about 17663.9301968729. The cubic root of 312014430 is about 678.2527446769.

Adding to 312014430 its reverse (34410213), we get a palindrome (346424643).

The spelling of 312014430 in words is "three hundred twelve million, fourteen thousand, four hundred thirty".