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317268468 = 223311299209
BaseRepresentation
bin10010111010010…
…010000111110100
3211002222220112000
4102322102013310
51122210042333
651252055300
710601510646
oct2272220764
9732886460
10317268468
111530a9550
128a304530
1350965b2a
14301ca896
151ccc0713
hex12e921f4

317268468 has 96 divisors (see below), whose sum is σ = 928368000. Its totient is φ = 92816640.

The previous prime is 317268461. The next prime is 317268481. The reversal of 317268468 is 864862713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317268461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29848 + ... + 39056.

It is an arithmetic number, because the mean of its divisors is an integer number (9670500).

Almost surely, 2317268468 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 317268468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464184000).

317268468 is an abundant number, since it is smaller than the sum of its proper divisors (611099532).

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

317268468 is a wasteful number, since it uses less digits than its factorization.

317268468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9262 (or 9254 counting only the distinct ones).

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

The square root of 317268468 is about 17812.0315517349. The cubic root of 317268468 is about 682.0386255045.

The spelling of 317268468 in words is "three hundred seventeen million, two hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 5742 8613 9209 11484 17226 18418 27627 34452 36836 55254 82881 101299 110508 165762 202598 248643 267061 303897 331524 405196 497286 534122 607794 801183 911691 994572 1068244 1215588 1602366 1823382 2403549 2735073 2937671 3204732 3646764 4807098 5470146 5875342 7210647 8813013 9614196 10940292 11750684 14421294 17626026 26439039 28842588 35252052 52878078 79317117 105756156 158634234 317268468