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316471680 = 27325747167
BaseRepresentation
bin10010110111001…
…111100110000000
3211001111102112100
4102313033212000
51122004043210
651223030400
710561651650
oct2267174600
9731442470
10316471680
11152704948
1289b9b400
1350747265
1430060360
151cbb45c0
hex12dcf980

316471680 has 384 divisors, whose sum is σ = 1283143680. Its totient is φ = 70373376.

The previous prime is 316471607. The next prime is 316471703. The reversal of 316471680 is 86174613.

316471680 is a `hidden beast` number, since 3 + 1 + 647 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1894957 + ... + 1895123.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2316471680 is an apocalyptic number.

316471680 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 316471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

316471680 is an abundant number, since it is smaller than the sum of its proper divisors (966672000).

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

316471680 is a wasteful number, since it uses less digits than its factorization.

316471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 316471680 is about 17789.6509240626. The cubic root of 316471680 is about 681.4671896230.

The spelling of 316471680 in words is "three hundred sixteen million, four hundred seventy-one thousand, six hundred eighty".