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317843072 = 27231071009
BaseRepresentation
bin10010111100011…
…110011010000000
3211011002002201122
4102330132122000
51122331434242
651312251412
710606423121
oct2274363200
9734062648
10317843072
11153461228
128a540b68
1350b07531
14302da048
151cd85ad2
hex12f1e680

317843072 has 64 divisors (see below), whose sum is σ = 667569600. Its totient is φ = 150441984.

The previous prime is 317843063. The next prime is 317843087. The reversal of 317843072 is 270348713.

317843072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 314504 + ... + 315512.

It is an arithmetic number, because the mean of its divisors is an integer number (10430775).

Almost surely, 2317843072 is an apocalyptic number.

317843072 is a gapful number since it is divisible by the number (32) 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 317843072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333784800).

317843072 is an abundant number, since it is smaller than the sum of its proper divisors (349726528).

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

317843072 is a wasteful number, since it uses less digits than its factorization.

317843072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 317843072 is about 17828.1539145252. The cubic root of 317843072 is about 682.4501232409.

The spelling of 317843072 in words is "three hundred seventeen million, eight hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 107 128 184 214 368 428 736 856 1009 1472 1712 2018 2461 2944 3424 4036 4922 6848 8072 9844 13696 16144 19688 23207 32288 39376 46414 64576 78752 92828 107963 129152 157504 185656 215926 315008 371312 431852 742624 863704 1485248 1727408 2483149 2970496 3454816 4966298 6909632 9932596 13819264 19865192 39730384 79460768 158921536 317843072