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34720673800 = 23527911319447
BaseRepresentation
bin100000010101100000…
…110111000000001000
310022121202001222102111
4200111200313000020
51032101443030200
623541144312104
72336260600141
oct402540670010
9108552058374
1034720673800
11137a7a0813a
12688ba72634
1333743b3bc7
141975398ac8
15d832a70ba
hex815837008

34720673800 has 96 divisors (see below), whose sum is σ = 82475078400. Its totient is φ = 13590420480.

The previous prime is 34720673791. The next prime is 34720673821. The reversal of 34720673800 is 837602743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1775677 + ... + 1795123.

It is an arithmetic number, because the mean of its divisors is an integer number (859115400).

Almost surely, 234720673800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34720673800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41237539200).

34720673800 is an abundant number, since it is smaller than the sum of its proper divisors (47754404600).

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

34720673800 is a wasteful number, since it uses less digits than its factorization.

34720673800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19655 (or 19646 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 34720673800 in words is "thirty-four billion, seven hundred twenty million, six hundred seventy-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 113 158 200 226 316 395 452 565 632 790 904 1130 1580 1975 2260 2825 3160 3950 4520 5650 7900 8927 11300 15800 17854 19447 22600 35708 38894 44635 71416 77788 89270 97235 155576 178540 194470 223175 357080 388940 446350 486175 777880 892700 972350 1536313 1785400 1944700 2197511 3072626 3889400 4395022 6145252 7681565 8790044 10987555 12290504 15363130 17580088 21975110 30726260 38407825 43950220 54937775 61452520 76815650 87900440 109875550 153631300 173603369 219751100 307262600 347206738 439502200 694413476 868016845 1388826952 1736033690 3472067380 4340084225 6944134760 8680168450 17360336900 34720673800