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34332852606 = 23132236312333
BaseRepresentation
bin11111111110011001…
…011100000101111110
310021121201022121202120
4133332121130011332
51030303202240411
623434452103410
72323541301123
oct377631340576
9107551277676
1034332852606
1113619000358
1267a2004b66
133311c47b00
141939a8474a
15d5e1ec106
hex7fe65c17e

34332852606 has 96 divisors (see below), whose sum is σ = 77743037952. Its totient is φ = 10084314240.

The previous prime is 34332852581. The next prime is 34332852611. The reversal of 34332852606 is 60625823343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14715016 + ... + 14717348.

It is an arithmetic number, because the mean of its divisors is an integer number (809823312).

Almost surely, 234332852606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34332852606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38871518976).

34332852606 is an abundant number, since it is smaller than the sum of its proper divisors (43410185346).

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

34332852606 is a wasteful number, since it uses less digits than its factorization.

34332852606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 34332852606 in words is "thirty-four billion, three hundred thirty-two million, eight hundred fifty-two thousand, six hundred six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 507 598 631 897 1014 1262 1794 1893 2333 3786 3887 4666 6999 7774 8203 11661 13998 14513 16406 23322 24609 29026 30329 43539 49218 53659 60658 87078 90987 106639 107318 160977 181974 188669 213278 319917 321954 377338 394277 566007 639834 697567 788554 1132014 1182831 1395134 1472123 2092701 2365662 2452697 2944246 4185402 4416369 4905394 7358091 8832738 9068371 14716182 18136742 19137599 27205113 33858829 38275198 54410226 57412797 67717658 101576487 114825594 203152974 248788787 440164777 497577574 746366361 880329554 1320494331 1492732722 2640988662 5722142101 11444284202 17166426303 34332852606