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317071216 = 247111715139
BaseRepresentation
bin10010111001100…
…001111101110000
3211002121212221101
4102321201331300
51122132234331
651243534144
710600026610
oct2271417560
9732555841
10317071216
11152a84330
128a22a354
13508c7107
1430178a40
151cc82061
hex12e61f70

317071216 has 80 divisors (see below), whose sum is σ = 811019520. Its totient is φ = 116259840.

The previous prime is 317071213. The next prime is 317071231. The reversal of 317071216 is 612170713.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317071211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13375 + ... + 28513.

It is an arithmetic number, because the mean of its divisors is an integer number (10137744).

Almost surely, 2317071216 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 317071216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405509760).

317071216 is an abundant number, since it is smaller than the sum of its proper divisors (493948304).

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

317071216 is a wasteful number, since it uses less digits than its factorization.

317071216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15182 (or 15176 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 317071216 is about 17806.4936469817. The cubic root of 317071216 is about 681.8972506261.

It can be divided in two parts, 31707 and 1216, that added together give a palindrome (32923).

The spelling of 317071216 in words is "three hundred seventeen million, seventy-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 10472 15139 20944 30278 60556 105973 121112 166529 211946 242224 257363 333058 423892 514726 666116 847784 1029452 1165703 1332232 1695568 1801541 2058904 2331406 2664464 2830993 3603082 4117808 4662812 5661986 7206164 9325624 11323972 14412328 18651248 19816951 22647944 28824656 39633902 45295888 79267804 158535608 317071216