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34478243415 = 32571117955589
BaseRepresentation
bin100000000111000100…
…000011111001010111
310021222211220020110100
4200013010003321113
51031102412242130
623501124225143
72330255143050
oct400704037127
9107884806410
1034478243415
1113693084650
12682283b1b3
1333360c1a85
1419510cd727
15d6bd6ac60
hex807103e57

34478243415 has 96 divisors (see below), whose sum is σ = 74926425600. Its totient is φ = 14248316160.

The previous prime is 34478243383. The next prime is 34478243417. The reversal of 34478243415 is 51434287443.

It is not a de Polignac number, because 34478243415 - 25 = 34478243383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34478243417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592441 + ... + 648029.

It is an arithmetic number, because the mean of its divisors is an integer number (780483600).

Almost surely, 234478243415 is an apocalyptic number.

34478243415 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34478243415 is an abundant number, since it is smaller than the sum of its proper divisors (40448182185).

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

34478243415 is a wasteful number, since it uses less digits than its factorization.

34478243415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55797 (or 55794 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 34478243415 in words is "thirty-four billion, four hundred seventy-eight million, two hundred forty-three thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 179 231 315 385 495 537 693 895 1155 1253 1611 1969 2685 3465 3759 5907 6265 8055 9845 11277 13783 17721 18795 29535 41349 55589 56385 68915 88605 124047 166767 206745 277945 389123 500301 611479 620235 833835 1167369 1834437 1945615 2501505 3057395 3502107 4280353 5503311 5836845 9172185 9950431 12841059 17510535 21401765 27516555 29851293 38523177 49752155 64205295 69653017 89553879 109454741 149256465 192615885 208959051 328364223 348265085 447769395 547273705 626877153 766183187 985092669 1044795255 1641821115 2298549561 3134385765 3830915935 4925463345 6895648683 11492747805 34478243415