312271840 has 96 divisors (see below), whose sum is σ = 783216000. Its totient is φ = 117324288.

The previous prime is 312271819. The next prime is 312271847. The reversal of 312271840 is 48172213.

312271840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312271799 and 312271808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312271847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422191 + ... + 422929.

It is an arithmetic number, because the mean of its divisors is an integer number (8158500).

Almost surely, 2^312271840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391608000).

312271840 is an abundant number, since it is smaller than the sum of its proper divisors (470944160).

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

312271840 is a wasteful number, since it uses less digits than its factorization.

312271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 312271840 is about 17671.2150119905. The cubic root of 312271840 is about 678.4392115329.

The spelling of 312271840 in words is "three hundred twelve million, two hundred seventy-one thousand, eight hundred forty".