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316680840 = 23345713963
BaseRepresentation
bin10010111000000…
…010101010001000
3211001220001110000
4102320002222020
51122032241330
651231323000
710563512520
oct2270025210
9731801400
10316680840
11152838003
128a080460
13507bb518
14300b6680
151cc06560
hex12e02a88

316680840 has 160 divisors (see below), whose sum is σ = 1216543680. Its totient is φ = 72379008.

The previous prime is 316680821. The next prime is 316680857. The reversal of 316680840 is 48086613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 316680795 and 316680804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15699 + ... + 29661.

It is an arithmetic number, because the mean of its divisors is an integer number (7603398).

Almost surely, 2316680840 is an apocalyptic number.

316680840 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 316680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608271840).

316680840 is an abundant number, since it is smaller than the sum of its proper divisors (899862840).

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

316680840 is a wasteful number, since it uses less digits than its factorization.

316680840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13993 (or 13980 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 316680840 is about 17795.5286518833. The cubic root of 316680840 is about 681.6172865582.

The spelling of 316680840 in words is "three hundred sixteen million, six hundred eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 13963 22680 27926 41889 55852 69815 83778 97741 111704 125667 139630 167556 195482 209445 251334 279260 293223 335112 377001 390964 418890 488705 502668 558520 586446 628335 754002 781928 837780 879669 977410 1005336 1131003 1172892 1256670 1466115 1508004 1675560 1759338 1885005 1954820 2262006 2345784 2513340 2639007 2932230 3016008 3518676 3770010 3909640 4398345 4524012 5026680 5278014 5655015 5864460 7037352 7540020 7917021 8796690 9048024 10556028 11310030 11728920 13195035 15080040 15834042 17593380 21112056 22620060 26390070 31668084 35186760 39585105 45240120 52780140 63336168 79170210 105560280 158340420 316680840