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34540342161 = 313172317313093
BaseRepresentation
bin100000001010110000…
…111100101110010001
310022011011202011220220
4200022300330232101
51031214311422121
623511223223253
72331641031003
oct401260745621
9108134664826
1034540342161
1113715139326
12683b5a7b29
133345c250b0
141959456373
15d725356c6
hex80ac3cb91

34540342161 has 64 divisors (see below), whose sum is σ = 55117988352. Its totient is φ = 19023409152.

The previous prime is 34540342099. The next prime is 34540342247. The reversal of 34540342161 is 16124304543.

It is a happy number.

It is not a de Polignac number, because 34540342161 - 218 = 34540080017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34540342561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2631531 + ... + 2644623.

It is an arithmetic number, because the mean of its divisors is an integer number (861218568).

Almost surely, 234540342161 is an apocalyptic number.

It is an amenable number.

34540342161 is a deficient number, since it is larger than the sum of its proper divisors (20577646191).

34540342161 is a wasteful number, since it uses less digits than its factorization.

34540342161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13322.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 34540342161 in words is "thirty-four billion, five hundred forty million, three hundred forty-two thousand, one hundred sixty-one".

Divisors: 1 3 13 17 23 39 51 69 173 221 299 391 519 663 897 1173 2249 2941 3979 5083 6747 8823 11937 13093 15249 38233 39279 51727 67643 114699 155181 170209 202929 222581 301139 510627 667743 879359 903417 2265089 2638077 2893553 3914807 5119363 6795267 8680659 11744421 15358089 29446157 38506513 52097047 66551719 88338471 115519539 156291141 199655157 500584669 677261611 885649799 1501754007 2031784833 2656949397 11513447387 34540342161