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3282651264 = 27323443839
BaseRepresentation
bin1100001110101001…
…0100100010000000
322110202212221222110
43003222110202000
523210324320024
61301422335320
7144230034564
oct30352244200
98422787873
103282651264
111434a75532
1277742a540
134041198c9
14231d816a4
151432c7629
hexc3a94880

3282651264 has 128 divisors (see below), whose sum is σ = 9130060800. Its totient is φ = 1043035136.

The previous prime is 3282651257. The next prime is 3282651283. The reversal of 3282651264 is 4621562823.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3912157 + ... + 3912995.

It is an arithmetic number, because the mean of its divisors is an integer number (71328600).

Almost surely, 23282651264 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 3282651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565030400).

3282651264 is an abundant number, since it is smaller than the sum of its proper divisors (5847409536).

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

3282651264 is a wasteful number, since it uses less digits than its factorization.

3282651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1310 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 3282651264 is about 57294.4261163335. The cubic root of 3282651264 is about 1486.1919883430.

The spelling of 3282651264 in words is "three billion, two hundred eighty-two million, six hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 443 552 736 839 886 1104 1329 1472 1678 1772 2208 2517 2658 2944 3356 3544 4416 5034 5316 6712 7088 8832 10068 10189 10632 13424 14176 19297 20136 20378 21264 26848 28352 30567 38594 40272 40756 42528 53696 56704 57891 61134 77188 80544 81512 85056 107392 115782 122268 154376 161088 163024 170112 231564 244536 308752 322176 326048 371677 463128 489072 617504 652096 743354 926256 978144 1115031 1235008 1304192 1486708 1852512 1956288 2230062 2470016 2973416 3705024 3912576 4460124 5946832 7410048 8548571 8920248 11893664 17097142 17840496 23787328 25645713 34194284 35680992 47574656 51291426 68388568 71361984 102582852 136777136 142723968 205165704 273554272 410331408 547108544 820662816 1094217088 1641325632 3282651264