312061248 has 140 divisors (see below), whose sum is σ = 979738452. Its totient is φ = 97873920.

The previous prime is 312061237. The next prime is 312061273. The reversal of 312061248 is 842160213.

312061248 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 612 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189117504 + 122943744 = 13752^2 + 11088^2 .

It is a super-3 number, since 3×312061248³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86358 + ... + 89898.

Almost surely, 2^312061248 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 312061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489869226).

312061248 is an abundant number, since it is smaller than the sum of its proper divisors (667677204).

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

312061248 is a wasteful number, since it uses less digits than its factorization.

312061248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 312061248 is about 17665.2553901720. The cubic root of 312061248 is about 678.2866670918.

The spelling of 312061248 in words is "three hundred twelve million, sixty-one thousand, two hundred forty-eight".