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34203204234 = 2335983211613
BaseRepresentation
bin11111110110101010…
…110111101010001010
310021021200100210122000
4133312222313222022
51030022010013414
623413541211430
72320405303413
oct376652675212
9107250323560
1034203204234
11135618a9641
126766700b76
1332c11233b4
14192677680a
15d52b3cb09
hex7f6ab7a8a

34203204234 has 128 divisors (see below), whose sum is σ = 78725606400. Its totient is φ = 11002340160.

The previous prime is 34203204229. The next prime is 34203204283. The reversal of 34203204234 is 43240230243.

34203204234 is a `hidden beast` number, since 3 + 420 + 3 + 2 + 0 + 4 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34203204198 and 34203204207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55796112 + ... + 55796724.

It is an arithmetic number, because the mean of its divisors is an integer number (615043800).

Almost surely, 234203204234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34203204234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39362803200).

34203204234 is an abundant number, since it is smaller than the sum of its proper divisors (44522402166).

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

34203204234 is a wasteful number, since it uses less digits than its factorization.

34203204234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

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

Adding to 34203204234 its reverse (43240230243), we get a palindrome (77443434477).

The spelling of 34203204234 in words is "thirty-four billion, two hundred three million, two hundred four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 83 118 166 177 211 249 354 422 498 531 613 633 747 1062 1226 1266 1494 1593 1839 1899 2241 3186 3678 3798 4482 4897 5517 5697 9794 11034 11394 12449 14691 16551 17513 24898 29382 33102 35026 36167 37347 44073 50879 52539 72334 74694 88146 101758 105078 108501 112041 129343 132219 152637 157617 217002 224082 258686 264438 305274 315234 325503 336123 388029 457911 472851 651006 672246 776058 915822 945702 976509 1033267 1164087 1373733 1953018 2066534 2328174 2747466 3001861 3099801 3492261 6003722 6199602 6984522 7631237 9005583 9299403 10735469 15262474 18011166 18598806 21470938 22893711 27016749 27898209 32206407 45787422 54033498 55796418 64412814 68681133 81050247 96619221 137362266 162100494 193238442 206043399 289857663 412086798 579715326 633392671 1266785342 1900178013 3800356026 5700534039 11401068078 17101602117 34203204234