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34410500054 = 27172353831429
BaseRepresentation
bin100000000011000001…
…101000111111010110
310021211010102112000222
4200003001220333112
51030433042000204
623450304234342
72325503265410
oct400301507726
9107733375028
1034410500054
1113658914aa7
12680400b9b2
133325063448
1419460d79b0
15d65e38abe
hex803068fd6

34410500054 has 128 divisors (see below), whose sum is σ = 67251824640. Its totient is φ = 12859951104.

The previous prime is 34410500027. The next prime is 34410500081. The reversal of 34410500054 is 45000501443.

It is an interprime number because it is at equal distance from previous prime (34410500027) and next prime (34410500081).

It is a junction number, because it is equal to n+sod(n) for n = 34410499996 and 34410500032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24079412 + ... + 24080840.

It is an arithmetic number, because the mean of its divisors is an integer number (525404880).

Almost surely, 234410500054 is an apocalyptic number.

34410500054 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34410500054 is a deficient number, since it is larger than the sum of its proper divisors (32841324586).

34410500054 is a wasteful number, since it uses less digits than its factorization.

34410500054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614.

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 34410500054 in words is "thirty-four billion, four hundred ten million, five hundred thousand, fifty-four".

Divisors: 1 2 7 14 17 23 34 46 53 83 106 119 161 166 238 322 371 391 581 742 782 901 1162 1219 1411 1429 1802 1909 2438 2737 2822 2858 3818 4399 5474 6307 8533 8798 9877 10003 12614 13363 17066 19754 20006 20723 24293 26726 30793 32453 32867 41446 48586 61586 64906 65734 74783 75737 101177 118607 145061 149566 151474 170051 202354 227171 230069 237214 290122 340102 454342 460138 523481 530159 558739 708239 830249 1046962 1060318 1117478 1287529 1416478 1660498 1720009 1741951 2016319 2575058 2727961 3440018 3483902 3911173 4032638 5455922 6286171 7822346 9012703 12040063 12193657 12572342 14114233 18025406 19095727 24080126 24387314 28228466 29613167 38191454 44003197 46375337 59226334 88006394 92750674 106864907 144581933 207292169 213729814 289163866 324627359 414584338 649254718 748054349 1012073531 1496108698 2024147062 2457892861 4915785722 17205250027 34410500054