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34350522444 = 2234715145733
BaseRepresentation
bin11111111111011100…
…110110000001001100
310021122221120100020000
4133333130312001030
51030322213204234
623440322524300
72324144423520
oct377734660114
9107587510200
1034350522444
1113627a79a27
1267a7b06690
1333157c3734
14193c163d80
15d60a3c899
hex7ff73604c

34350522444 has 60 divisors (see below), whose sum is σ = 102627493584. Its totient is φ = 9814434336.

The previous prime is 34350522443. The next prime is 34350522497. The reversal of 34350522444 is 44422505343.

34350522444 is a `hidden beast` number, since 3 + 43 + 50 + 522 + 4 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34350522399 and 34350522408.

It is not an unprimeable number, because it can be changed into a prime (34350522443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7570599 + ... + 7575134.

Almost surely, 234350522444 is an apocalyptic number.

It is an amenable number.

34350522444 is an abundant number, since it is smaller than the sum of its proper divisors (68276971140).

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

34350522444 is a wasteful number, since it uses less digits than its factorization.

34350522444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15145756 (or 15145745 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 34350522444 in words is "thirty-four billion, three hundred fifty million, five hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 15145733 30291466 45437199 60582932 90874398 106020131 136311597 181748796 212040262 272623194 318060393 408934791 424080524 545246388 636120786 817869582 954181179 1226804373 1272241572 1635739164 1908362358 2453608746 2862543537 3816724716 4907217492 5725087074 8587630611 11450174148 17175261222 34350522444