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2730350304 = 253211861853
BaseRepresentation
bin1010001010111101…
…1101011011100000
321001021122011111100
42202233131123200
521042432202204
61130532514400
7124442410653
oct24257353340
97037564440
102730350304
111181236660
1264247ba00
13346881cc6
141bc89389a
1510ea7ca39
hexa2bdd6e0

2730350304 has 72 divisors (see below), whose sum is σ = 8470301112. Its totient is φ = 827377920.

The previous prime is 2730350291. The next prime is 2730350333. The reversal of 2730350304 is 4030530372.

2730350304 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 350 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427759 + ... + 434094.

It is an arithmetic number, because the mean of its divisors is an integer number (117643071).

Almost surely, 22730350304 is an apocalyptic number.

2730350304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2730350304 is an abundant number, since it is smaller than the sum of its proper divisors (5739950808).

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

2730350304 is a wasteful number, since it uses less digits than its factorization.

2730350304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861880 (or 861869 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 2730350304 is about 52252.7540326823. The cubic root of 2730350304 is about 1397.6747633205.

Adding to 2730350304 its reverse (4030530372), we get a palindrome (6760880676).

The spelling of 2730350304 in words is "two billion, seven hundred thirty million, three hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 861853 1723706 2585559 3447412 5171118 6894824 7756677 9480383 10342236 13789648 15513354 18960766 20684472 27579296 28441149 31026708 37921532 41368944 56882298 62053416 75843064 82737888 85323447 113764596 124106832 151686128 170646894 227529192 248213664 303372256 341293788 455058384 682587576 910116768 1365175152 2730350304