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3261688038 = 2327235910301
BaseRepresentation
bin1100001001101001…
…0110100011100110
322102022102220211200
43002122112203212
523134443004123
61255353143330
7143553614400
oct30232264346
98368386750
103261688038
111424157554
127703bab46
133cc989c2b
1422d285b70
15141536143
hexc26968e6

3261688038 has 72 divisors (see below), whose sum is σ = 8244484560. Its totient is φ = 929224800.

The previous prime is 3261687997. The next prime is 3261688049. The reversal of 3261688038 is 8308861623.

It is a junction number, because it is equal to n+sod(n) for n = 3261687984 and 3261688002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311488 + ... + 321788.

It is an arithmetic number, because the mean of its divisors is an integer number (114506730).

Almost surely, 23261688038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3261688038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122242280).

3261688038 is an abundant number, since it is smaller than the sum of its proper divisors (4982796522).

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

3261688038 is a wasteful number, since it uses less digits than its factorization.

3261688038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3261688038 is about 57111.1901294309. The cubic root of 3261688038 is about 1483.0215901482.

The spelling of 3261688038 in words is "three billion, two hundred sixty-one million, six hundred eighty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 359 441 718 882 1077 2154 2513 3231 5026 6462 7539 10301 15078 17591 20602 22617 30903 35182 45234 52773 61806 72107 92709 105546 144214 158319 185418 216321 316638 432642 504749 648963 1009498 1297926 1514247 3028494 3698059 4542741 7396118 9085482 11094177 22188354 25886413 33282531 51772826 66565062 77659239 155318478 181204891 232977717 362409782 465955434 543614673 1087229346 1630844019 3261688038