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34469429904 = 2433713876817
BaseRepresentation
bin100000000110100010…
…011100001010010000
310021222020022110121000
4200012202130022100
51031043133224104
623500211302000
72330120214510
oct400642341220
9107866273530
1034469429904
1113689104958
12681b8aa900
133334327290
14194dc77840
15d6b1c9639
hex80689c290

34469429904 has 160 divisors (see below), whose sum is σ = 121772483840. Its totient is φ = 9090828288.

The previous prime is 34469429903. The next prime is 34469429909. The reversal of 34469429904 is 40992496443.

It is a happy number.

34469429904 is a `hidden beast` number, since 3 + 446 + 94 + 29 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34469429903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399097 + ... + 477720.

It is an arithmetic number, because the mean of its divisors is an integer number (761078024).

Almost surely, 234469429904 is an apocalyptic number.

It is an amenable number.

34469429904 is an abundant number, since it is smaller than the sum of its proper divisors (87303053936).

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

34469429904 is a wasteful number, since it uses less digits than its factorization.

34469429904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876854 (or 876842 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 34469429904 in words is "thirty-four billion, four hundred sixty-nine million, four hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 876817 1753634 2630451 3507268 5260902 6137719 7014536 7891353 10521804 11398621 12275438 14029072 15782706 18413157 21043608 22797242 23674059 24550876 31565412 34195863 36826314 42087216 45594484 47348118 49101752 55239471 63130824 68391726 73652628 79790347 91188968 94696236 98203504 102587589 110478942 126261648 136783452 147305256 159580694 165718413 182377936 189392472 205175178 220957884 239371041 273566904 294610512 307762767 319161388 331436826 378784944 410350356 441915768 478742082 547133808 615525534 638322776 662873652 718113123 820700712 883831536 957484164 1231051068 1276645552 1325747304 1436226246 1641401424 1914968328 2154339369 2462102136 2651494608 2872452492 3829936656 4308678738 4924204272 5744904984 8617357476 11489809968 17234714952 34469429904