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316723680 = 253257132417
BaseRepresentation
bin10010111000001…
…101000111100000
3211001222020012200
4102320031013200
51122040124210
651232253200
710564051440
oct2270150740
9731866180
10316723680
11152867209
128a0a1200
1350804b80
14300c8120
151cc140c0
hex12e0d1e0

316723680 has 288 divisors, whose sum is σ = 1330789824. Its totient is φ = 66797568.

The previous prime is 316723679. The next prime is 316723691. The reversal of 316723680 is 86327613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129832 + ... + 132248.

It is an arithmetic number, because the mean of its divisors is an integer number (4620798).

Almost surely, 2316723680 is an apocalyptic number.

316723680 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 316723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665394912).

316723680 is an abundant number, since it is smaller than the sum of its proper divisors (1014066144).

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

316723680 is a wasteful number, since it uses less digits than its factorization.

316723680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 316723680 is about 17796.7322843268. The cubic root of 316723680 is about 681.6480211488.

The spelling of 316723680 in words is "three hundred sixteen million, seven hundred twenty-three thousand, six hundred eighty".