312500032 has 56 divisors (see below), whose sum is σ = 684181512. Its totient is φ = 140697600.

The previous prime is 312500017. The next prime is 312500059. The reversal of 312500032 is 230005213.

It can be written as a sum of positive squares in 4 ways, for example, as 8904256 + 303595776 = 2984^2 + 17424^2 .

It is a sliding number, since 312500032 = 32 + 312500000 and 1/32 + 1/312500000 = 0.0312500032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312499979 and 312500015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29532 + ... + 38692.

It is an arithmetic number, because the mean of its divisors is an integer number (12217527).

Almost surely, 2^312500032 is an apocalyptic number.

312500032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342090756).

312500032 is an abundant number, since it is smaller than the sum of its proper divisors (371681480).

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

312500032 is a wasteful number, since it uses less digits than its factorization.

312500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 312500032 is about 17677.6704347603. The cubic root of 312500032 is about 678.6044273118.

Adding to 312500032 its reverse (230005213), we get a palindrome (542505245).

It can be divided in two parts, 3125000 and 32, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 312500032 in words is "three hundred twelve million, five hundred thousand, thirty-two".