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316294992 = 243213241317
BaseRepresentation
bin10010110110100…
…100011101010000
3211001011110011100
4102312210131100
51121432414432
651215144400
710560314556
oct2266443520
9731143140
10316294992
111525a4122
1289b15100
13506b4a00
1430015bd6
151cb7c07c
hex12da4750

316294992 has 180 divisors, whose sum is σ = 984991644. Its totient is φ = 94648320.

The previous prime is 316294991. The next prime is 316294997. The reversal of 316294992 is 299492613.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 208051776 + 108243216 = 14424^2 + 10404^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316294991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 997618 + ... + 997934.

Almost surely, 2316294992 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 316294992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492495822).

316294992 is an abundant number, since it is smaller than the sum of its proper divisors (668696652).

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

316294992 is a wasteful number, since it uses less digits than its factorization.

316294992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 316294992 is about 17784.6841973649. The cubic root of 316294992 is about 681.3403436340.

The spelling of 316294992 in words is "three hundred sixteen million, two hundred ninety-four thousand, nine hundred ninety-two".