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34502143232 = 282343136273
BaseRepresentation
bin100000001000011111…
…001110110100000000
310022001111212110211202
4200020133032310000
51031130022040412
623503340400332
72330665243604
oct401037166400
9108044773752
1034502143232
11136a5618967
12682a8460a8
13333b03c28b
141954351504
15d6dedc3c2
hex8087ced00

34502143232 has 72 divisors (see below), whose sum is σ = 73535630784. Its totient is φ = 16117161984.

The previous prime is 34502143211. The next prime is 34502143237. The reversal of 34502143232 is 23234120543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34502143195 and 34502143204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34502143237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185048 + ... + 321320.

Almost surely, 234502143232 is an apocalyptic number.

34502143232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34502143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36767815392).

34502143232 is an abundant number, since it is smaller than the sum of its proper divisors (39033487552).

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

34502143232 is a wasteful number, since it uses less digits than its factorization.

34502143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136355 (or 136341 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 34502143232 its reverse (23234120543), we get a palindrome (57736263775).

The spelling of 34502143232 in words is "thirty-four billion, five hundred two million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 128 172 184 256 344 368 688 736 989 1376 1472 1978 2752 2944 3956 5504 5888 7912 11008 15824 31648 63296 126592 136273 253184 272546 545092 1090184 2180368 3134279 4360736 5859739 6268558 8721472 11719478 12537116 17442944 23438956 25074232 34885888 46877912 50148464 93755824 100296928 134773997 187511648 200593856 269547994 375023296 401187712 539095988 750046592 802375424 1078191976 1500093184 2156383952 4312767904 8625535808 17251071616 34502143232