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34468307478 = 232114318122367
BaseRepresentation
bin100000000110011110…
…001010001000010110
310021222011012102220200
4200012132022020112
51031042341314403
623500131241330
72330104531233
oct400636121026
9107864172820
1034468307478
1113688508630
12681b449246
133334023417
14194da6478a
15d6b056ca3
hex80678a216

34468307478 has 96 divisors (see below), whose sum is σ = 83829537792. Its totient is φ = 10145217600.

The previous prime is 34468307453. The next prime is 34468307509. The reversal of 34468307478 is 87470386443.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1529851 + ... + 1552217.

It is an arithmetic number, because the mean of its divisors is an integer number (873224352).

Almost surely, 234468307478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34468307478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41914768896).

34468307478 is an abundant number, since it is smaller than the sum of its proper divisors (49361230314).

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

34468307478 is a wasteful number, since it uses less digits than its factorization.

34468307478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22610 (or 22607 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 34468307478 in words is "thirty-four billion, four hundred sixty-eight million, three hundred seven thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 181 198 258 362 387 473 543 774 946 1086 1419 1629 1991 2838 3258 3982 4257 5973 7783 8514 11946 15566 17919 22367 23349 35838 44734 46698 67101 70047 85613 134202 140094 171226 201303 246037 256839 402606 492074 513678 738111 770517 961781 1476222 1541034 1923562 2214333 2885343 4048427 4428666 5770686 8096854 8656029 10579591 12145281 17312058 21159182 24290562 31738773 36435843 44532697 63477546 72871686 89065394 95216319 133598091 174082361 190432638 267196182 348164722 400794273 522247083 801588546 1044494166 1566741249 1914905971 3133482498 3829811942 5744717913 11489435826 17234153739 34468307478