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318450690 = 23454143223
BaseRepresentation
bin10010111110110…
…010110000000010
3211012012222020000
4102332302300002
51123010410230
651333300430
710614533445
oct2276626002
9735188200
10318450690
11153836798
128a794716
1350c8ac7c
143041765c
151ce55b60
hex12fb2c02

318450690 has 160 divisors (see below), whose sum is σ = 901587456. Its totient is φ = 80559360.

The previous prime is 318450679. The next prime is 318450703. The reversal of 318450690 is 96054813.

It is a super-2 number, since 2×3184506902 = 202821683922952200, which contains 22 as substring.

It is a Curzon 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 79 ways as a sum of consecutive naturals, for example, 1427919 + ... + 1428141.

Almost surely, 2318450690 is an apocalyptic number.

318450690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 318450690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450793728).

318450690 is an abundant number, since it is smaller than the sum of its proper divisors (583136766).

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

318450690 is a wasteful number, since it uses less digits than its factorization.

318450690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 318450690 is about 17845.1867460108. The cubic root of 318450690 is about 682.8847245226.

The spelling of 318450690 in words is "three hundred eighteen million, four hundred fifty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 43 45 54 81 82 86 90 123 129 135 162 205 215 223 246 258 270 369 387 405 410 430 446 615 645 669 738 774 810 1107 1115 1161 1230 1290 1338 1763 1845 1935 2007 2214 2230 2322 3321 3345 3483 3526 3690 3870 4014 5289 5535 5805 6021 6642 6690 6966 8815 9143 9589 10035 10578 11070 11610 12042 15867 16605 17415 17630 18063 18286 19178 20070 26445 27429 28767 30105 31734 33210 34830 36126 45715 47601 47945 52890 54858 57534 60210 79335 82287 86301 90315 91430 95202 95890 137145 142803 143835 158670 164574 172602 180630 238005 246861 258903 274290 285606 287670 393149 411435 431505 476010 493722 517806 714015 740583 776709 786298 822870 863010 1179447 1234305 1294515 1428030 1481166 1553418 1965745 2358894 2468610 2589030 3538341 3702915 3883545 3931490 5897235 7076682 7405830 7767090 10615023 11794470 17691705 21230046 31845069 35383410 53075115 63690138 106150230 159225345 318450690