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34343032052 = 227174314911261
BaseRepresentation
bin11111111111000000…
…010001010011110100
310021122102110210100002
4133333000101103310
51030313304011202
623435454210432
72324023645610
oct377700212364
9107572423302
1034343032052
111362382331a
1267a54b3a18
1333140a0254
14193b174340
15d6005d302
hex7ff0114f4

34343032052 has 96 divisors (see below), whose sum is σ = 74923833600. Its totient is φ = 13438494720.

The previous prime is 34343032037. The next prime is 34343032081. The reversal of 34343032052 is 25023034343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3044102 + ... + 3055362.

It is an arithmetic number, because the mean of its divisors is an integer number (780456600).

Almost surely, 234343032052 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 34343032052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37461916800).

34343032052 is an abundant number, since it is smaller than the sum of its proper divisors (40580801548).

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

34343032052 is a wasteful number, since it uses less digits than its factorization.

34343032052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481 (or 11479 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 29.

Adding to 34343032052 its reverse (25023034343), we get a palindrome (59366066395).

The spelling of 34343032052 in words is "thirty-four billion, three hundred forty-three million, thirty-two thousand, fifty-two".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 149 172 238 298 301 476 596 602 731 1043 1204 1462 2086 2533 2924 4172 5066 5117 6407 10132 10234 11261 12814 17731 20468 22522 25628 35462 44849 45044 70924 78827 89698 108919 157654 179396 191437 217838 315308 382874 435676 484223 762433 765748 968446 1340059 1524866 1677889 1936892 2680118 3049732 3355778 3389561 5360236 6711556 6779122 8231791 11745223 13558244 16463582 23490446 28524113 32927164 46980892 57048226 57622537 72149227 114096452 115245074 144298454 199668791 230490148 288596908 399337582 505044589 798675164 1010089178 1226536859 2020178356 2453073718 4906147436 8585758013 17171516026 34343032052