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316514340 = 2232531131433
BaseRepresentation
bin10010110111011…
…010000000100100
3211001120121001100
4102313122000210
51122011424330
651224000100
710562220222
oct2267320044
9731517040
10316514340
111527339aa
128a000030
13507607bc
1430071b12
151cbc2060
hex12dda024

316514340 has 144 divisors (see below), whose sum is σ = 1000935936. Its totient is φ = 80870400.

The previous prime is 316514333. The next prime is 316514351. The reversal of 316514340 is 43415613.

316514340 is a `hidden beast` number, since 3 + 1 + 651 + 4 + 3 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730764 + ... + 731196.

It is an arithmetic number, because the mean of its divisors is an integer number (6950944).

Almost surely, 2316514340 is an apocalyptic number.

316514340 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 316514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500467968).

316514340 is an abundant number, since it is smaller than the sum of its proper divisors (684421596).

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

316514340 is a wasteful number, since it uses less digits than its factorization.

316514340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 316514340 is about 17790.8498953816. The cubic root of 316514340 is about 681.4978085651.

Adding to 316514340 its reverse (43415613), we get a palindrome (359929953).

The spelling of 316514340 in words is "three hundred sixteen million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 131 155 180 186 262 279 310 372 393 433 465 524 558 620 655 786 866 930 1116 1179 1299 1310 1395 1572 1732 1860 1965 2165 2358 2598 2620 2790 3897 3930 4061 4330 4716 5196 5580 5895 6495 7794 7860 8122 8660 11790 12183 12990 13423 15588 16244 19485 20305 23580 24366 25980 26846 36549 38970 40269 40610 48732 53692 56723 60915 67115 73098 77940 80538 81220 113446 120807 121830 134230 146196 161076 170169 182745 201345 226892 241614 243660 268460 283615 340338 365490 402690 483228 510507 567230 604035 680676 730980 805380 850845 1021014 1134460 1208070 1701690 1758413 2042028 2416140 2552535 3403380 3516826 5105070 5275239 7033652 8792065 10210140 10550478 15825717 17584130 21100956 26376195 31651434 35168260 52752390 63302868 79128585 105504780 158257170 316514340