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317238540 = 223523297927
BaseRepresentation
bin10010111010001…
…010110100001100
3211002221101110120
4102322022310030
51122203113130
651251304540
710601324463
oct2272126414
9732841416
10317238540
11153089013
128a2ab150
1350955318
14301bd9da
151ccb6910
hex12e8ad0c

317238540 has 96 divisors (see below), whose sum is σ = 958970880. Its totient is φ = 78118656.

The previous prime is 317238527. The next prime is 317238541. The reversal of 317238540 is 45832713.

It is a super-2 number, since 2×3172385402 = 201280582522663200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (317238541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36057 + ... + 43983.

It is an arithmetic number, because the mean of its divisors is an integer number (9989280).

Almost surely, 2317238540 is an apocalyptic number.

317238540 is a gapful number since it is divisible by the number (30) 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 317238540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479485440).

317238540 is an abundant number, since it is smaller than the sum of its proper divisors (641732340).

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

317238540 is a wasteful number, since it uses less digits than its factorization.

317238540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 317238540 is about 17811.1914256178. The cubic root of 317238540 is about 682.0171792154.

The spelling of 317238540 in words is "three hundred seventeen million, two hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 29 30 46 58 60 69 87 92 115 116 138 145 174 230 276 290 345 348 435 460 580 667 690 870 1334 1380 1740 2001 2668 3335 4002 6670 7927 8004 10005 13340 15854 20010 23781 31708 39635 40020 47562 79270 95124 118905 158540 182321 229883 237810 364642 459766 475620 546963 689649 729284 911605 919532 1093926 1149415 1379298 1823210 2187852 2298830 2734815 2758596 3448245 3646420 4597660 5287309 5469630 6896490 10574618 10939260 13792980 15861927 21149236 26436545 31723854 52873090 63447708 79309635 105746180 158619270 317238540