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34425435366 = 2327401681341
BaseRepresentation
bin100000000011111010…
…100111010011100110
310021212011112022102200
4200003322213103212
51031000402412431
623452000315330
72326044241530
oct400372472346
9107764468380
1034425435366
1113666296133
126809012b46
1333281924ca
1419480a4850
15d673d8ee6
hex803ea74e6

34425435366 has 48 divisors (see below), whose sum is σ = 85456639008. Its totient is φ = 9811296000.

The previous prime is 34425435347. The next prime is 34425435409. The reversal of 34425435366 is 66353452443.

34425435366 is a `hidden beast` number, since 3 + 4 + 4 + 254 + 35 + 366 = 666.

It is a super-2 number, since 2×344254353662 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290145 + ... + 391196.

It is an arithmetic number, because the mean of its divisors is an integer number (1780346646).

Almost surely, 234425435366 is an apocalyptic number.

34425435366 is an abundant number, since it is smaller than the sum of its proper divisors (51031203642).

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

34425435366 is a wasteful number, since it uses less digits than its factorization.

34425435366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681757 (or 681754 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

The spelling of 34425435366 in words is "thirty-four billion, four hundred twenty-five million, four hundred thirty-five thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 401 802 1203 2406 2807 3609 5614 7218 8421 16842 25263 50526 681341 1362682 2044023 4088046 4769387 6132069 9538774 12264138 14308161 28616322 42924483 85848966 273217741 546435482 819653223 1639306446 1912524187 2458959669 3825048374 4917919338 5737572561 11475145122 17212717683 34425435366