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34832479164 = 22375311369239
BaseRepresentation
bin100000011100001011…
…010111001110111100
310022220112110021112220
4200130023113032330
51032314103313124
624000220525340
72342116121250
oct403413271674
9108815407486
1034832479164
111385503216a
1269013b0850
1333915cbc22
141986180260
15d8cede879
hex81c2d73bc

34832479164 has 96 divisors (see below), whose sum is σ = 95478082560. Its totient is φ = 9677810688.

The previous prime is 34832479141. The next prime is 34832479169. The reversal of 34832479164 is 46197423843.

It is a happy number.

34832479164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34832479169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468457 + ... + 537695.

It is an arithmetic number, because the mean of its divisors is an integer number (994563360).

Almost surely, 234832479164 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 34832479164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47739041280).

34832479164 is an abundant number, since it is smaller than the sum of its proper divisors (60645603396).

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

34832479164 is a wasteful number, since it uses less digits than its factorization.

34832479164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69419 (or 69417 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 34832479164 in words is "thirty-four billion, eight hundred thirty-two million, four hundred seventy-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 113 159 212 226 318 339 371 452 636 678 742 791 1113 1356 1484 1582 2226 2373 3164 4452 4746 5989 9492 11978 17967 23956 35934 41923 69239 71868 83846 125769 138478 167692 207717 251538 276956 415434 484673 503076 830868 969346 1454019 1938692 2908038 3669667 5816076 7339334 7824007 11009001 14678668 15648014 22018002 23472021 25687669 31296028 44036004 46944042 51375338 54768049 77063007 93888084 102750676 109536098 154126014 164304147 219072196 308252028 328608294 414672371 657216588 829344742 1244017113 1658689484 2488034226 2902706597 4976068452 5805413194 8708119791 11610826388 17416239582 34832479164