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34999674724 = 2274232832
BaseRepresentation
bin100000100110001001…
…001010011101100100
310100100012001200202001
4200212021022131210
51033134404042344
624024552255044
72346216220000
oct404611123544
9110305050661
1034999674724
1113930449713
1269493a1484
1333ba13b901
1419a0463700
15d9ca18ed4
hex82624a764

34999674724 has 135 divisors (see below), whose sum is σ = 75605944883. Its totient is φ = 14174828976.

The previous prime is 34999674707. The next prime is 34999674737. The reversal of 34999674724 is 42747699943.

34999674724 = T217 + T218 + ... + T5943.

The square root of 34999674724 is 187082.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 421682787 + ... + 421682869.

Almost surely, 234999674724 is an apocalyptic number.

34999674724 is the 187082-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34999674724

34999674724 is an abundant number, since it is smaller than the sum of its proper divisors (40606270159).

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

34999674724 is an frugal number, since it uses more digits than its factorization.

34999674724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 115 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 64.

Multiplying 34999674724 by its sum of digits (64), we get a square (2239979182336 = 14966562).

The spelling of 34999674724 in words is "thirty-four billion, nine hundred ninety-nine million, six hundred seventy-four thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 83 92 98 161 166 196 322 332 343 529 581 644 686 1058 1127 1162 1372 1909 2116 2254 2324 2401 3703 3818 4067 4508 4802 6889 7406 7636 7889 8134 9604 13363 13778 14812 15778 16268 25921 26726 27556 28469 31556 43907 48223 51842 53452 55223 56938 87814 93541 96446 103684 110446 113876 158447 175628 181447 187082 192892 199283 220892 307349 316894 337561 362894 374164 398566 614698 633788 654787 675122 725788 797132 1109129 1229396 1270129 1309574 1350244 2151443 2218258 2362927 2540258 2619148 3644281 4302886 4436516 4583509 4725854 5080516 7288562 7763903 8605772 9167018 9451708 14577124 15060101 15527806 16540489 18334036 25509967 30120202 31055612 33080978 51019934 54347321 60240404 66161956 102039868 105420707 108694642 178569769 210841414 217389284 357139538 380431247 421682828 714279076 760862494 1249988383 1521724988 2499976766 4999953532 8749918681 17499837362 34999674724