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317088 = 2533367
BaseRepresentation
bin1001101011010100000
3121002222000
41031122200
540121323
610444000
72460312
oct1153240
9532860
10317088
111a7262
12133600
13b1435
14837b2
1563e43
hex4d6a0

317088 has 48 divisors (see below), whose sum is σ = 927360. Its totient is φ = 105408.

The previous prime is 317087. The next prime is 317089. The reversal of 317088 is 880713.

It is an interprime number because it is at equal distance from previous prime (317087) and next prime (317089).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 317088.

It is not an unprimeable number, because it can be changed into a prime (317087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (19320).

2317088 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 317088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463680).

317088 is an abundant number, since it is smaller than the sum of its proper divisors (610272).

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

317088 is a wasteful number, since it uses less digits than its factorization.

317088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 317088 is about 563.1056739192. The cubic root of 317088 is about 68.1909282373.

The spelling of 317088 in words is "three hundred seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 367 432 734 864 1101 1468 2202 2936 3303 4404 5872 6606 8808 9909 11744 13212 17616 19818 26424 35232 39636 52848 79272 105696 158544 317088