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34491029200 = 2452101385121
BaseRepresentation
bin100000000111110100…
…110101011011010000
310022000201221211020221
4200013310311123100
51031114200413300
623502302242424
72330501624305
oct400764653320
9108021854227
1034491029200
111369a317811
126826b86414
13333894a624
141952a9b0ac
15d6d04431a
hex807d356d0

34491029200 has 60 divisors (see below), whose sum is σ = 82947473388. Its totient is φ = 13782630400.

The previous prime is 34491029179. The next prime is 34491029219. The reversal of 34491029200 is 292019443.

It can be written as a sum of positive squares in 6 ways, for example, as 2231995536 + 32259033664 = 47244^2 + 179608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362640 + ... + 447760.

Almost surely, 234491029200 is an apocalyptic number.

It is an amenable number.

34491029200 is an abundant number, since it is smaller than the sum of its proper divisors (48456444188).

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

34491029200 is a wasteful number, since it uses less digits than its factorization.

34491029200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86152 (or 86141 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 34491029200 in words is "thirty-four billion, four hundred ninety-one million, twenty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1013 2026 4052 5065 8104 10130 16208 20260 25325 40520 50650 81040 85121 101300 170242 202600 340484 405200 425605 680968 851210 1361936 1702420 2128025 3404840 4256050 6809680 8512100 17024200 34048400 86227573 172455146 344910292 431137865 689820584 862275730 1379641168 1724551460 2155689325 3449102920 4311378650 6898205840 8622757300 17245514600 34491029200