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316064840 = 235713312801
BaseRepresentation
bin10010110101101…
…100010001001000
3211000201202110012
4102311230101020
51121403033330
651210211052
710555335560
oct2265542110
9730652405
10316064840
11152457213
1289a23a88
1350634020
142dd95da0
151cb33c95
hex12d6c448

316064840 has 128 divisors (see below), whose sum is σ = 903813120. Its totient is φ = 96768000.

The previous prime is 316064831. The next prime is 316064843. The reversal of 316064840 is 48460613.

It is a junction number, because it is equal to n+sod(n) for n = 316064797 and 316064806.

It is not an unprimeable number, because it can be changed into a prime (316064843) 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, 111440 + ... + 114240.

It is an arithmetic number, because the mean of its divisors is an integer number (7061040).

Almost surely, 2316064840 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 316064840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451906560).

316064840 is an abundant number, since it is smaller than the sum of its proper divisors (587748280).

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

316064840 is a wasteful number, since it uses less digits than its factorization.

316064840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 316064840 is about 17778.2125085735. The cubic root of 316064840 is about 681.1750444704.

The spelling of 316064840 in words is "three hundred sixteen million, sixty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 182 217 248 260 280 310 364 403 434 455 520 620 728 806 868 910 1085 1240 1612 1736 1820 2015 2170 2801 2821 3224 3640 4030 4340 5602 5642 8060 8680 11204 11284 14005 14105 16120 19607 22408 22568 28010 28210 36413 39214 56020 56420 72826 78428 86831 98035 112040 112840 145652 156856 173662 182065 196070 254891 291304 347324 364130 392140 434155 509782 607817 694648 728260 784280 868310 1019564 1128803 1215634 1274455 1456520 1736620 2039128 2257606 2431268 2548910 3039085 3473240 4515212 4862536 5097820 5644015 6078170 7901621 9030424 10195640 11288030 12156340 15803242 22576060 24312680 31606484 39508105 45152120 63212968 79016210 158032420 316064840