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2304654768 = 24361315199
BaseRepresentation
bin1000100101011110…
…0011110110110000
312221121121121000000
42021113203312300
514204442423033
61020404430000
7111053146053
oct21127436660
95847547000
102304654768
11a82a10269
125439a8300
132a9614a60
1417c120a9a
15d74e0a13
hex895e3db0

2304654768 has 140 divisors (see below), whose sum is σ = 7210302400. Its totient is φ = 709077888.

The previous prime is 2304654757. The next prime is 2304654787. The reversal of 2304654768 is 8674564032.

2304654768 is a `hidden beast` number, since 2 + 3 + 0 + 46 + 547 + 68 = 666.

2304654768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23046547682 = 10622867199330267648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 144033 + ... + 159231.

It is an arithmetic number, because the mean of its divisors is an integer number (51502160).

Almost surely, 22304654768 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 2304654768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605151200).

2304654768 is an abundant number, since it is smaller than the sum of its proper divisors (4905647632).

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

2304654768 is a wasteful number, since it uses less digits than its factorization.

2304654768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15238 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2304654768 is about 48006.8200154936. The cubic root of 2304654768 is about 1320.8960032343.

The spelling of 2304654768 in words is "two billion, three hundred four million, six hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2808 2916 3159 3888 4212 5616 5832 6318 8424 9477 11664 12636 15199 16848 18954 25272 30398 37908 45597 50544 60796 75816 91194 121592 136791 151632 182388 197587 243184 273582 364776 395174 410373 547164 592761 729552 790348 820746 1094328 1185522 1231119 1580696 1641492 1778283 2188656 2371044 2462238 3161392 3282984 3556566 3693357 4742088 4924476 5334849 6565968 7113132 7386714 9484176 9848952 10669698 11080071 14226264 14773428 16004547 19697904 21339396 22160142 28452528 29546856 32009094 42678792 44320284 48013641 59093712 64018188 85357584 88640568 96027282 128036376 144040923 177281136 192054564 256072752 288081846 384109128 576163692 768218256 1152327384 2304654768