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316298880 = 2732589617
BaseRepresentation
bin10010110110100…
…101011010000000
3211001011122111100
4102312211122000
51121433031010
651215214400
710560332112
oct2266453200
9731148440
10316298880
111525a7037
1289b17400
13506b6701
14300173b2
151cb7d2c0
hex12da5680

316298880 has 192 divisors, whose sum is σ = 1106281800. Its totient is φ = 83263488.

The previous prime is 316298869. The next prime is 316298881. The reversal of 316298880 is 88892613.

It can be written as a sum of positive squares in 4 ways, for example, as 111007296 + 205291584 = 10536^2 + 14328^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (316298881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512332 + ... + 512948.

Almost surely, 2316298880 is an apocalyptic number.

316298880 is a gapful number since it is divisible by the number (30) 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 316298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553140900).

316298880 is an abundant number, since it is smaller than the sum of its proper divisors (789982920).

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

316298880 is a wasteful number, since it uses less digits than its factorization.

316298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 316298880 is about 17784.7935045645. The cubic root of 316298880 is about 681.3431353743.

The spelling of 316298880 in words is "three hundred sixteen million, two hundred ninety-eight thousand, eight hundred eighty".