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3829308912 = 2433111361987
BaseRepresentation
bin1110010000111110…
…1001110111110000
3100212212112001022000
43210033221313300
530320300341122
61431551214000
7163615405632
oct34417516760
910785461260
103829308912
1116955aa510
128aa517300
13490459980
14284800a52
151762aa0ac
hexe43e9df0

3829308912 has 160 divisors (see below), whose sum is σ = 12913340160. Its totient is φ = 1071118080.

The previous prime is 3829308911. The next prime is 3829308937. The reversal of 3829308912 is 2198039283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829308911) 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, 30783 + ... + 92769.

It is an arithmetic number, because the mean of its divisors is an integer number (80708376).

Almost surely, 23829308912 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 3829308912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456670080).

3829308912 is an abundant number, since it is smaller than the sum of its proper divisors (9084031248).

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

3829308912 is a wasteful number, since it uses less digits than its factorization.

3829308912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62028 (or 62016 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3829308912 is about 61881.4100679679. The cubic root of 3829308912 is about 1564.4924350348.

The spelling of 3829308912 in words is "three billion, eight hundred twenty-nine million, three hundred eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 20592 30888 61776 61987 123974 185961 247948 371922 495896 557883 681857 743844 805831 991792 1115766 1363714 1487688 1611662 1673649 2045571 2231532 2417493 2727428 2975376 3223324 3347298 4091142 4463064 4834986 5454856 6136713 6446648 6694596 7252479 8182284 8864141 8926128 9669972 10909712 12273426 12893296 13389192 14504958 16364568 17728282 18410139 19339944 21757437 24546852 26592423 26778384 29009916 32729136 35456564 36820278 38679888 43514874 49093704 53184846 58019832 70913128 73640556 79777269 87029748 98187408 106369692 116039664 141826256 147281112 159554538 174059496 212739384 239331807 294562224 319109076 348118992 425478768 478663614 638218152 957327228 1276436304 1914654456 3829308912