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34023214008 = 23327411646497
BaseRepresentation
bin11111101011111100…
…010000101110111000
310020211010200100110100
4133223330100232320
51024134420322013
623344031315400
72313061355520
oct375374205670
9106733610410
1034023214008
111347a243293
12671637bb60
133292a53ac4
14190a8c2680
15d41e37473
hex7ebf10bb8

34023214008 has 96 divisors (see below), whose sum is σ = 107878548960. Its totient is φ = 9483816960.

The previous prime is 34023214007. The next prime is 34023214073. The reversal of 34023214008 is 80041232043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023214007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802585 + ... + 843912.

It is an arithmetic number, because the mean of its divisors is an integer number (1123734885).

Almost surely, 234023214008 is an apocalyptic number.

It is an amenable number.

34023214008 is an abundant number, since it is smaller than the sum of its proper divisors (73855334952).

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

34023214008 is a wasteful number, since it uses less digits than its factorization.

34023214008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646557 (or 1646550 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 34023214008 in words is "thirty-four billion, twenty-three million, two hundred fourteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 5166 6888 10332 20664 1646497 3292994 4939491 6585988 9878982 11525479 13171976 14818473 19757964 23050958 29636946 34576437 39515928 46101916 59273892 67506377 69152874 92203832 103729311 118547784 135012754 138305748 202519131 207458622 270025508 276611496 405038262 414917244 472544639 540051016 607557393 810076524 829834488 945089278 1215114786 1417633917 1620153048 1890178556 2430229572 2835267834 3780357112 4252901751 4860459144 5670535668 8505803502 11341071336 17011607004 34023214008