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34830194434032 = 2432812582309789
BaseRepresentation
bin1111110101101100010010…
…10111011101111111110000
311120022201211010200101010110
413322312021113131333300
514031124214233342112
6202024434225101320
710223253454556304
oct772661127357760
9146281733611113
1034830194434032
1110109447811628
123aa63a9787840
13165861c93515a
14885b0cc2dd04
1540602ecaa13c
hex1fad895ddff0

34830194434032 has 40 divisors (see below), whose sum is σ = 90298208736720. Its totient is φ = 11568747850240.

The previous prime is 34830194434027. The next prime is 34830194434039. The reversal of 34830194434032 is 23043449103843.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34830194434039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1291141407 + ... + 1291168382.

It is an arithmetic number, because the mean of its divisors is an integer number (2257455218418).

Almost surely, 234830194434032 is an apocalyptic number.

It is an amenable number.

34830194434032 is an abundant number, since it is smaller than the sum of its proper divisors (55468014302688).

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

34830194434032 is a wasteful number, since it uses less digits than its factorization.

34830194434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582310081 (or 2582310075 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 34830194434032 in words is "thirty-four trillion, eight hundred thirty billion, one hundred ninety-four million, four hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 281 562 843 1124 1686 2248 3372 4496 6744 13488 2582309789 5164619578 7746929367 10329239156 15493858734 20658478312 30987717468 41316956624 61975434936 123950869872 725629050709 1451258101418 2176887152127 2902516202836 4353774304254 5805032405672 8707548608508 11610064811344 17415097217016 34830194434032