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3260760768 = 26327121123
BaseRepresentation
bin1100001001011011…
…0100001011000000
322102020200210212100
43002112310023000
523134223321033
61255321230400
7143543003106
oct30226641300
98366623770
103260760768
111423683911
12770032400
133cc723b55
1422d0c3c76
15141401513
hexc25b42c0

3260760768 has 126 divisors (see below), whose sum is σ = 9488316812. Its totient is φ = 1070657280.

The previous prime is 3260760749. The next prime is 3260760779. The reversal of 3260760768 is 8670670623.

3260760768 is a `hidden beast` number, since 32 + 6 + 0 + 7 + 607 + 6 + 8 = 666.

It is a super-2 number, since 2×32607607682 = 21265121572255899648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2903055 + ... + 2904177.

Almost surely, 23260760768 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 3260760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744158406).

3260760768 is an abundant number, since it is smaller than the sum of its proper divisors (6227556044).

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

3260760768 is a wasteful number, since it uses less digits than its factorization.

3260760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3260760768 is about 57103.0714410355. The cubic root of 3260760768 is about 1482.8810400455.

The spelling of 3260760768 in words is "three billion, two hundred sixty million, seven hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1123 1136 1278 1704 2246 2272 2556 3369 3408 4492 4544 5041 5112 6738 6816 8984 10082 10107 10224 13476 13632 15123 17968 20164 20214 20448 26952 30246 35936 40328 40428 40896 45369 53904 60492 71872 79733 80656 80856 90738 107808 120984 159466 161312 161712 181476 215616 239199 241968 318932 322624 323424 362952 478398 483936 637864 646848 717597 725904 956796 967872 1275728 1435194 1451808 1913592 2551456 2870388 2903616 3827184 5102912 5661043 5740776 7654368 11322086 11481552 15308736 16983129 22644172 22963104 33966258 45288344 45926208 50949387 67932516 90576688 101898774 135865032 181153376 203797548 271730064 362306752 407595096 543460128 815190192 1086920256 1630380384 3260760768