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3296285664 = 253722330467
BaseRepresentation
bin1100010001111001…
…0101001111100000
322111201112122212020
43010132111033200
523222322120124
61303030501440
7144453652200
oct30436251740
98451478766
103296285664
111441738231
1277bb04880
13406bb17b9
14233ad0400
151445bc379
hexc47953e0

3296285664 has 144 divisors (see below), whose sum is σ = 10503416448. Its totient is φ = 900818688.

The previous prime is 3296285647. The next prime is 3296285683. The reversal of 3296285664 is 4665826923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92959 + ... + 123425.

It is an arithmetic number, because the mean of its divisors is an integer number (72940392).

Almost surely, 23296285664 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 3296285664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251708224).

3296285664 is an abundant number, since it is smaller than the sum of its proper divisors (7207130784).

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

3296285664 is a wasteful number, since it uses less digits than its factorization.

3296285664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30517 (or 30502 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 3296285664 is about 57413.2882179727. The cubic root of 3296285664 is about 1488.2467650642.

The spelling of 3296285664 in words is "three billion, two hundred ninety-six million, two hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2208 2254 2352 2576 3381 3864 4508 4704 5152 6762 7728 9016 13524 15456 18032 27048 30467 36064 54096 60934 91401 108192 121868 182802 213269 243736 365604 426538 487472 639807 700741 731208 853076 974944 1279614 1401482 1462416 1492883 1706152 2102223 2559228 2802964 2924832 2985766 3412304 4204446 4478649 4905187 5118456 5605928 5971532 6824608 8408892 8957298 9810374 10236912 11211856 11943064 14715561 16817784 17914596 19620748 20473824 22423712 23886128 29431122 33635568 34336309 35829192 39241496 47772256 58862244 67271136 68672618 71658384 78482992 103008927 117724488 137345236 143316768 156965984 206017854 235448976 274690472 412035708 470897952 549380944 824071416 1098761888 1648142832 3296285664