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34700053806 = 23411106118353
BaseRepresentation
bin100000010100010010…
…001100110100101110
310022120022021101010000
4200110102030310232
51032031203210211
623535130325130
72335620406425
oct402422146456
9108508241100
1034700053806
1113797304020
126884b897a6
133370044522
14197274c2bc
15d81582656
hex81448cd2e

34700053806 has 80 divisors (see below), whose sum is σ = 84906925488. Its totient is φ = 10504684800.

The previous prime is 34700053781. The next prime is 34700053811. The reversal of 34700053806 is 60835000743.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1881526 + ... + 1899878.

Almost surely, 234700053806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34700053806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42453462744).

34700053806 is an abundant number, since it is smaller than the sum of its proper divisors (50206871682).

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

34700053806 is a wasteful number, since it uses less digits than its factorization.

34700053806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19439 (or 19430 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34700053806 in words is "thirty-four billion, seven hundred million, fifty-three thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1061 1782 2122 3183 6366 9549 11671 18353 19098 23342 28647 35013 36706 55059 57294 70026 85941 105039 110118 165177 171882 201883 210078 315117 330354 403766 495531 605649 630234 945351 991062 1211298 1486593 1816947 1890702 2973186 3633894 5450841 10901682 16352523 19472533 32705046 38945066 58417599 116835198 175252797 214197863 350505594 428395726 525758391 642593589 1051516782 1285187178 1577275173 1927780767 3154550346 3855561534 5783342301 11566684602 17350026903 34700053806