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34234200432 = 24321713984559
BaseRepresentation
bin11111111000100001…
…000111000101110000
310021100211200120102100
4133320201013011300
51030102423403212
623421005420400
72321232621345
oct377041070560
9107324616370
1034234200432
111357834a533
126774b6a700
1332c7686943
14192a9247cc
15d55711bdc
hex7f8847170

34234200432 has 60 divisors (see below), whose sum is σ = 101443998240. Its totient is φ = 10740140544.

The previous prime is 34234200317. The next prime is 34234200433. The reversal of 34234200432 is 23400243243.

34234200432 is a `hidden beast` number, since 3 + 4 + 23 + 4 + 200 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34234200396 and 34234200405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34234200433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6989832 + ... + 6994727.

It is an arithmetic number, because the mean of its divisors is an integer number (1690733304).

Almost surely, 234234200432 is an apocalyptic number.

It is an amenable number.

34234200432 is an abundant number, since it is smaller than the sum of its proper divisors (67209797808).

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

34234200432 is a wasteful number, since it uses less digits than its factorization.

34234200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13984590 (or 13984581 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34234200432 its reverse (23400243243), we get a palindrome (57634443675).

The spelling of 34234200432 in words is "thirty-four billion, two hundred thirty-four million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 13984559 27969118 41953677 55938236 83907354 111876472 125861031 167814708 223752944 237737503 251722062 335629416 475475006 503444124 671258832 713212509 950950012 1006888248 1426425018 1901900024 2013776496 2139637527 2852850036 3803800048 4279275054 5705700072 8558550108 11411400144 17117100216 34234200432