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317288664 = 23347116359
BaseRepresentation
bin10010111010010…
…111000011011000
3211010000221020000
4102322113003120
51122211214124
651252333000
710601623560
oct2272270330
9733027200
10317288664
11153112740
128a314160
1350972094
14301d3da0
151ccc66c9
hex12e970d8

317288664 has 160 divisors (see below), whose sum is σ = 1108166400. Its totient is φ = 82399680.

The previous prime is 317288659. The next prime is 317288669. The reversal of 317288664 is 466882713.

It is an interprime number because it is at equal distance from previous prime (317288659) and next prime (317288669).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317288669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46717 + ... + 53075.

It is an arithmetic number, because the mean of its divisors is an integer number (6926040).

Almost surely, 2317288664 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 317288664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554083200).

317288664 is an abundant number, since it is smaller than the sum of its proper divisors (790877736).

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

317288664 is a wasteful number, since it uses less digits than its factorization.

317288664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6382 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 317288664 is about 17812.5984628858. The cubic root of 317288664 is about 682.0530971179.

The spelling of 317288664 in words is "three hundred seventeen million, two hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 5544 6237 6359 7128 8316 12474 12718 16632 19077 24948 25436 38154 44513 49896 50872 57231 69949 76308 89026 114462 133539 139898 152616 171693 178052 209847 228924 267078 279796 343386 356104 400617 419694 457848 489643 515079 534156 559592 629541 686772 801234 839388 979286 1030158 1068312 1201851 1259082 1373544 1468929 1602468 1678776 1888623 1958572 2060316 2403702 2518164 2937858 3204936 3605553 3777246 3917144 4120632 4406787 4807404 5036328 5665869 5875716 7211106 7554492 8813574 9614808 11331738 11751432 13220361 14422212 15108984 17627148 22663476 26440722 28844424 35254296 39661083 45326952 52881444 79322166 105762888 158644332 317288664