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316514640 = 243513229443
BaseRepresentation
bin10010110111011…
…010000101010000
3211001120121110110
4102313122011100
51122011432030
651224001320
710562221131
oct2267320520
9731517413
10316514640
11152734152
128a000240
1350760990
1430071c88
151cbc21b0
hex12dda150

316514640 has 160 divisors (see below), whose sum is σ = 1063681920. Its totient is φ = 77395968.

The previous prime is 316514617. The next prime is 316514651. The reversal of 316514640 is 46415613.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 316514598 and 316514607.

It is a congruent number.

It is an unprimeable number.

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, 714259 + ... + 714701.

It is an arithmetic number, because the mean of its divisors is an integer number (6648012).

Almost surely, 2316514640 is an apocalyptic number.

316514640 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 316514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531840960).

316514640 is an abundant number, since it is smaller than the sum of its proper divisors (747167280).

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

316514640 is a wasteful number, since it uses less digits than its factorization.

316514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 316514640 is about 17790.8583266800. The cubic root of 316514640 is about 681.4980238785.

The spelling of 316514640 in words is "three hundred sixteen million, five hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 229 240 260 312 390 443 458 520 624 687 780 886 916 1040 1145 1329 1374 1560 1772 1832 2215 2290 2658 2748 2977 3120 3435 3544 3664 4430 4580 5316 5496 5759 5954 6645 6870 7088 8860 8931 9160 10632 10992 11518 11908 13290 13740 14885 17277 17720 17862 18320 21264 23036 23816 26580 27480 28795 29770 34554 35440 35724 44655 46072 47632 53160 54960 57590 59540 69108 71448 86385 89310 92144 101447 106320 115180 119080 138216 142896 172770 178620 202894 230360 238160 276432 304341 345540 357240 405788 460720 507235 608682 691080 714480 811576 1014470 1217364 1318811 1382160 1521705 1623152 2028940 2434728 2637622 3043410 3956433 4057880 4869456 5275244 6086820 6594055 7912866 8115760 10550488 12173640 13188110 15825732 19782165 21100976 24347280 26376220 31651464 39564330 52752440 63302928 79128660 105504880 158257320 316514640