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34879961226 = 231113114872713
BaseRepresentation
bin100000011111000000…
…011111100010001010
310100000211210121200210
4200133000133202022
51032413232224401
624005034341550
72343233531025
oct403700374212
9110024717623
1034879961226
1113879913140
12691528a8b6
13339b3b5216
14198c5c01bc
15d9226d4d6
hex81f01f88a

34879961226 has 64 divisors (see below), whose sum is σ = 76762515456. Its totient is φ = 10478083200.

The previous prime is 34879961183. The next prime is 34879961243. The reversal of 34879961226 is 62216997843.

It is a super-2 number, since 2×348799612262 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12855246 + ... + 12857958.

It is an arithmetic number, because the mean of its divisors is an integer number (1199414304).

Almost surely, 234879961226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34879961226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38381257728).

34879961226 is an abundant number, since it is smaller than the sum of its proper divisors (41882554230).

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

34879961226 is a wasteful number, since it uses less digits than its factorization.

34879961226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347.

The product of its digits is 7838208, while the sum is 57.

The spelling of 34879961226 in words is "thirty-four billion, eight hundred seventy-nine million, nine hundred sixty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 1487 2713 2882 2974 4323 4461 5426 8139 8646 8922 16278 16357 29843 32714 49071 59686 89529 98142 179058 194797 355403 389594 584391 710806 1066209 1168782 2132418 2142767 3909433 4034231 4285534 6428301 7818866 8068462 11728299 12102693 12856602 23456598 24205386 44376541 88753082 133129623 266259246 528484261 1056968522 1585452783 3170905566 5813326871 11626653742 17439980613 34879961226