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316893360 = 24357533559
BaseRepresentation
bin10010111000110…
…110100010110000
3211002021211222010
4102320312202300
51122111041420
651240042520
710565356230
oct2270664260
9732254863
10316893360
11152972743
128a163440
1350864184
143012dcc0
151cc494e0
hex12e368b0

316893360 has 160 divisors (see below), whose sum is σ = 1144212480. Its totient is φ = 71046144.

The previous prime is 316893347. The next prime is 316893361. The reversal of 316893360 is 63398613.

It is a super-2 number, since 2×3168933602 = 200842803224179200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (316893361) 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, 87261 + ... + 90819.

It is an arithmetic number, because the mean of its divisors is an integer number (7151328).

Almost surely, 2316893360 is an apocalyptic number.

316893360 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 316893360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572106240).

316893360 is an abundant number, since it is smaller than the sum of its proper divisors (827319120).

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

316893360 is a wasteful number, since it uses less digits than its factorization.

316893360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 316893360 is about 17801.4988133022. The cubic root of 316893360 is about 681.7697270131.

The spelling of 316893360 in words is "three hundred sixteen million, eight hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1484 1590 1680 1855 2120 2226 2544 2968 3180 3559 3710 4240 4452 5565 5936 6360 7118 7420 8904 10677 11130 12720 14236 14840 17795 17808 21354 22260 24913 28472 29680 35590 42708 44520 49826 53385 56944 71180 74739 85416 89040 99652 106770 124565 142360 149478 170832 188627 199304 213540 249130 284720 298956 373695 377254 398608 427080 498260 565881 597912 747390 754508 854160 943135 996520 1131762 1195824 1320389 1494780 1509016 1886270 1993040 2263524 2640778 2829405 2989560 3018032 3772540 3961167 4527048 5281556 5658810 5979120 6601945 7545080 7922334 9054096 10563112 11317620 13203890 15090160 15844668 19805835 21126224 22635240 26407780 31689336 39611670 45270480 52815560 63378672 79223340 105631120 158446680 316893360