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34345577554343 = 112541524672363
BaseRepresentation
bin1111100111100101100111…
…11100110010000110100111
311111121101221100112010211122
413303302303330302012213
514000204220323214333
6201014050203324155
710143246300216116
oct763626374620647
9144541840463748
1034345577554343
11aa41972162100
123a284a052065b
131621a0a814943
1486a498a7dc7d
153e8619918798
hex1f3cb3f321a7

34345577554343 has 12 divisors (see below), whose sum is σ = 37821532031304. Its totient is φ = 31165538302800.

The previous prime is 34345577554319. The next prime is 34345577554357.

34345577554343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34345577554343 - 230 = 34344503812519 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345577554313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262270721 + ... + 262401642.

It is an arithmetic number, because the mean of its divisors is an integer number (3151794335942).

Almost surely, 234345577554343 is an apocalyptic number.

34345577554343 is a deficient number, since it is larger than the sum of its proper divisors (3475954476961).

34345577554343 is a wasteful number, since it uses less digits than its factorization.

34345577554343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524672926 (or 524672915 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 62.

The spelling of 34345577554343 in words is "thirty-four trillion, three hundred forty-five billion, five hundred seventy-seven million, five hundred fifty-four thousand, three hundred forty-three".

Divisors: 1 11 121 541 5951 65461 524672363 5771395993 63485355923 283847748383 3122325232213 34345577554343