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34834110948 = 223271346722769
BaseRepresentation
bin100000011100010001…
…100101100111100100
310022220122112011221100
4200130101211213210
51032320013022243
624000315520100
72342136025530
oct403421454744
9108818464840
1034834110948
1113855a4714a
126901a59030
133391a50890
141986486bc0
15d8d2130d3
hex81c4659e4

34834110948 has 144 divisors (see below), whose sum is σ = 108609621120. Its totient is φ = 9166943232.

The previous prime is 34834110947. The next prime is 34834110991. The reversal of 34834110948 is 84901143843.

It is not an unprimeable number, because it can be changed into a prime (34834110943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518508 + ... + 1541276.

It is an arithmetic number, because the mean of its divisors is an integer number (754233480).

Almost surely, 234834110948 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 34834110948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54304810560).

34834110948 is an abundant number, since it is smaller than the sum of its proper divisors (73775510172).

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

34834110948 is a wasteful number, since it uses less digits than its factorization.

34834110948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23266 (or 23261 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34834110948 in words is "thirty-four billion, eight hundred thirty-four million, one hundred ten thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 467 468 546 819 934 1092 1401 1638 1868 2802 3269 3276 4203 5604 6071 6538 8406 9807 12142 13076 16812 18213 19614 22769 24284 29421 36426 39228 42497 45538 54639 58842 68307 72852 84994 91076 109278 117684 127491 136614 159383 169988 204921 218556 254982 273228 295997 318766 382473 409842 478149 509964 591994 637532 764946 819684 887991 956298 1183988 1434447 1529892 1775982 1912596 2071979 2663973 2868894 3551964 4143958 5327946 5737788 6215937 8287916 10633123 10655892 12431874 18647811 21266246 24863748 31899369 37295622 42532492 63798738 74431861 74591244 95698107 127597476 138230599 148863722 191396214 223295583 276461198 297727444 382792428 414691797 446591166 552922396 669886749 829383594 893182332 967614193 1244075391 1339773498 1658767188 1935228386 2488150782 2679546996 2902842579 3870456772 4976301564 5805685158 8708527737 11611370316 17417055474 34834110948