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34026040524 = 22374310391459
BaseRepresentation
bin11111101100000111…
…000010110011001100
310020211022222221201010
4133230013002303030
51024141131244044
623344212045220
72313124400220
oct375407026314
9106738887633
1034026040524
11134808a3953
126717303810
1332935034b8
14190b01a780
15d422e4bb9
hex7ec1c2ccc

34026040524 has 96 divisors (see below), whose sum is σ = 93748695040. Its totient is φ = 9403345728.

The previous prime is 34026040513. The next prime is 34026040619. The reversal of 34026040524 is 42504062043.

It is a junction number, because it is equal to n+sod(n) for n = 34026040491 and 34026040500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326307 + ... + 417765.

Almost surely, 234026040524 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 34026040524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46874347520).

34026040524 is an abundant number, since it is smaller than the sum of its proper divisors (59722654516).

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

34026040524 is a wasteful number, since it uses less digits than its factorization.

34026040524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91619 (or 91617 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 34026040524 in words is "thirty-four billion, twenty-six million, forty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 103 129 172 206 258 301 309 412 516 602 618 721 903 1204 1236 1442 1806 2163 2884 3612 4326 4429 8652 8858 13287 17716 26574 31003 53148 62006 91459 93009 124012 182918 186018 274377 365836 372036 548754 640213 1097508 1280426 1920639 2560852 3841278 3932737 7682556 7865474 9420277 11798211 15730948 18840554 23596422 27529159 28260831 37681108 47192844 55058318 56521662 65941939 82587477 110116636 113043324 131883878 165174954 197825817 263767756 330349908 395651634 405071911 791303268 810143822 1215215733 1620287644 2430431466 2835503377 4860862932 5671006754 8506510131 11342013508 17013020262 34026040524