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34207593868 = 22717377972437
BaseRepresentation
bin11111110110111011…
…100111010110001100
310021021222121211002001
4133312323213112030
51030024121000433
623414215242044
72320460515240
oct376673472614
9107258554061
1034207593868
1113564327638
126768079324
1332c1ccc406
14192719a420
15d5320857d
hex7f6ee758c

34207593868 has 96 divisors (see below), whose sum is σ = 74521351296. Its totient is φ = 13402755072.

The previous prime is 34207593799. The next prime is 34207593869. The reversal of 34207593868 is 86839570243.

It is not an unprimeable number, because it can be changed into a prime (34207593869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14035546 + ... + 14037982.

It is an arithmetic number, because the mean of its divisors is an integer number (776264076).

Almost surely, 234207593868 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 34207593868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37260675648).

34207593868 is an abundant number, since it is smaller than the sum of its proper divisors (40313757428).

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

34207593868 is a wasteful number, since it uses less digits than its factorization.

34207593868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 34207593868 in words is "thirty-four billion, two hundred seven million, five hundred ninety-three thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 37 68 74 119 148 238 259 476 518 629 797 1036 1258 1594 2437 2516 3188 4403 4874 5579 8806 9748 11158 13549 17059 17612 22316 27098 29489 34118 41429 54196 58978 68236 82858 90169 94843 117956 165716 180338 189686 206423 290003 360676 379372 412846 501313 580006 631183 825692 1002626 1160012 1262366 1532873 1942289 2005252 2524732 3065746 3509191 3884578 6131492 7018382 7769156 10730111 13596023 14036764 21460222 27192046 33018913 42920444 54384092 66037826 71864693 132075652 143729386 231132391 287458772 462264782 503052851 924529564 1006105702 1221699781 2012211404 2443399562 4886799124 8551898467 17103796934 34207593868