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3234099132 = 22321127110457
BaseRepresentation
bin1100000011000100…
…0110111110111100
322100101112020222100
43000301012332330
523110412133012
61252525545100
7143100250305
oct30061067674
98311466870
103234099132
11140a623600
12763115190
133c704a534
142297437ac
1513ddd68dc
hexc0c46fbc

3234099132 has 108 divisors (see below), whose sum is σ = 9113268528. Its totient is φ = 966134400.

The previous prime is 3234099119. The next prime is 3234099139. The reversal of 3234099132 is 2319904323.

3234099132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234099139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 304048 + ... + 314504.

It is an arithmetic number, because the mean of its divisors is an integer number (84382116).

Almost surely, 23234099132 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 3234099132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556634264).

3234099132 is an abundant number, since it is smaller than the sum of its proper divisors (5879169396).

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

3234099132 is a wasteful number, since it uses less digits than its factorization.

3234099132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10560 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3234099132 is about 56869.1404190357. The cubic root of 3234099132 is about 1478.8283782004.

The spelling of 3234099132 in words is "three billion, two hundred thirty-four million, ninety-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 121 132 142 198 213 242 284 363 396 426 484 639 726 781 852 1089 1278 1452 1562 2178 2343 2556 3124 4356 4686 7029 8591 9372 10457 14058 17182 20914 25773 28116 31371 34364 41828 51546 62742 77319 94113 103092 115027 125484 154638 188226 230054 309276 345081 376452 460108 690162 742447 1035243 1265297 1380324 1484894 2070486 2227341 2530594 2969788 3795891 4140972 4454682 5061188 6682023 7591782 8166917 8909364 11387673 13364046 15183564 16333834 22775346 24500751 26728092 32667668 45550692 49001502 73502253 89836087 98003004 147004506 179672174 269508261 294009012 359344348 539016522 808524783 1078033044 1617049566 3234099132