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34843501680 = 24351353210713
BaseRepresentation
bin100000011100110101…
…011010010001110000
310022221022012021121020
4200130311122101300
51032324414023210
624001253055440
72342311610001
oct403465322160
9108838167536
1034843501680
1113860280589
126905027580
13339398b020
14198780d1a8
15d8de6a770
hex81cd5a470

34843501680 has 160 divisors (see below), whose sum is σ = 118519039296. Its totient is φ = 8414994432.

The previous prime is 34843501643. The next prime is 34843501703. The reversal of 34843501680 is 8610534843.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60004 + ... + 270716.

Almost surely, 234843501680 is an apocalyptic number.

34843501680 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 34843501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59259519648).

34843501680 is an abundant number, since it is smaller than the sum of its proper divisors (83675537616).

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

34843501680 is a wasteful number, since it uses less digits than its factorization.

34843501680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210795 (or 210789 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 34843501680 in words is "thirty-four billion, eight hundred forty-three million, five hundred one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 53 60 65 78 80 104 106 120 130 156 159 195 208 212 240 260 265 312 318 390 424 520 530 624 636 689 780 795 848 1040 1060 1272 1378 1560 1590 2067 2120 2544 2756 3120 3180 3445 4134 4240 5512 6360 6890 8268 10335 11024 12720 13780 16536 20670 27560 33072 41340 55120 82680 165360 210713 421426 632139 842852 1053565 1264278 1685704 2107130 2528556 2739269 3160695 3371408 4214260 5057112 5478538 6321390 8217807 8428520 10114224 10957076 11167789 12642780 13696345 16435614 16857040 21914152 22335578 25285560 27392690 32871228 33503367 41089035 43828304 44671156 50571120 54785380 55838945 65742456 67006734 82178070 89342312 109570760 111677890 131484912 134013468 145181257 164356140 167516835 178684624 219141520 223355780 268026936 290362514 328712280 335033670 435543771 446711560 536053872 580725028 657424560 670067340 725906285 871087542 893423120 1161450056 1340134680 1451812570 1742175084 2177718855 2322900112 2680269360 2903625140 3484350168 4355437710 5807250280 6968700336 8710875420 11614500560 17421750840 34843501680