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319680036 = 22321317231747
BaseRepresentation
bin10011000011011…
…110111000100100
3211021112102120100
4103003132320210
51123314230121
651415504100
710631143524
oct2303367044
9737472510
10319680036
111544a6385
128b088030
13512cb6b0
1430657684
151d0ea026
hex130dee24

319680036 has 144 divisors (see below), whose sum is σ = 962043264. Its totient is φ = 88501248.

The previous prime is 319679999. The next prime is 319680043. The reversal of 319680036 is 630086913.

It is a happy number.

It is a super-2 number, since 2×3196800362 = 204390650833922592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 182115 + ... + 183861.

It is an arithmetic number, because the mean of its divisors is an integer number (6680856).

Almost surely, 2319680036 is an apocalyptic number.

319680036 is a gapful number since it is divisible by the number (36) 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 319680036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481021632).

319680036 is an abundant number, since it is smaller than the sum of its proper divisors (642363228).

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

319680036 is a wasteful number, since it uses less digits than its factorization.

319680036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 319680036 is about 17879.5983176357. The cubic root of 319680036 is about 683.7623315034.

The spelling of 319680036 in words is "three hundred nineteen million, six hundred eighty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 23 26 34 36 39 46 51 52 68 69 78 92 102 117 138 153 156 204 207 221 234 276 299 306 391 414 442 468 598 612 663 782 828 884 897 1173 1196 1326 1564 1747 1794 1989 2346 2652 2691 3494 3519 3588 3978 4692 5083 5241 5382 6988 7038 7956 10166 10482 10764 14076 15249 15723 20332 20964 22711 29699 30498 31446 40181 45422 45747 59398 60996 62892 68133 80362 89097 90844 91494 118796 120543 136266 160724 178194 182988 204399 241086 267291 272532 356388 361629 386087 408798 482172 522353 534582 683077 723258 772174 817596 1044706 1069164 1158261 1366154 1446516 1544348 1567059 2049231 2089412 2316522 2732308 3134118 3474783 4098462 4633044 4701177 6147693 6268236 6949566 8196924 8880001 9402354 12295386 13899132 17760002 18804708 24590772 26640003 35520004 53280006 79920009 106560012 159840018 319680036