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2764003368 = 233726193797
BaseRepresentation
bin1010010010111111…
…0101100000101000
321010121221220211010
42210233311200220
521130041101433
61134134103520
7125331432600
oct24457654050
97117856733
102764003368
111199231705
126517aaba0
13350835969
141c3133c00
151129c8e63
hexa4bf5828

2764003368 has 96 divisors (see below), whose sum is σ = 8053279200. Its totient is φ = 788231808.

The previous prime is 2764003367. The next prime is 2764003393. The reversal of 2764003368 is 8633004672.

It is not an unprimeable number, because it can be changed into a prime (2764003367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726046 + ... + 729842.

It is an arithmetic number, because the mean of its divisors is an integer number (83888325).

Almost surely, 22764003368 is an apocalyptic number.

2764003368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2764003368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026639600).

2764003368 is an abundant number, since it is smaller than the sum of its proper divisors (5289275832).

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

2764003368 is a wasteful number, since it uses less digits than its factorization.

2764003368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2764003368 is about 52573.7897435595. The cubic root of 2764003368 is about 1403.3937001143.

The spelling of 2764003368 in words is "two billion, seven hundred sixty-four million, three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 619 1176 1238 1857 2476 3714 3797 4333 4952 7428 7594 8666 11391 12999 14856 15188 17332 22782 25998 26579 30331 30376 34664 45564 51996 53158 60662 79737 90993 91128 103992 106316 121324 159474 181986 186053 212632 242648 318948 363972 372106 558159 637896 727944 744212 1116318 1488424 2232636 2350343 4465272 4700686 7051029 9401372 14102058 16452401 18802744 28204116 32904802 49357203 56408232 65809604 98714406 115166807 131619208 197428812 230333614 345500421 394857624 460667228 691000842 921334456 1382001684 2764003368