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12340600305 = 3511176137177
BaseRepresentation
bin10110111111000111…
…01001110111110001
31011212001000110010120
423133203221313301
5200233143202210
65400313520453
7614545241355
oct133743516761
934761013116
1012340600305
115262a46730
122484a13129
1312188a9477
14850d5d465
154c35ee270
hex2df8e9df1

12340600305 has 64 divisors (see below), whose sum is σ = 22847401728. Its totient is φ = 5621391360.

The previous prime is 12340600267. The next prime is 12340600309. The reversal of 12340600305 is 50300604321.

It is a happy number.

It is not a de Polignac number, because 12340600305 - 28 = 12340600049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12340600309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1715877 + ... + 1723053.

It is an arithmetic number, because the mean of its divisors is an integer number (356990652).

Almost surely, 212340600305 is an apocalyptic number.

12340600305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12340600305 is a deficient number, since it is larger than the sum of its proper divisors (10506801423).

12340600305 is a wasteful number, since it uses less digits than its factorization.

12340600305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826.

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 12340600305 in words is "twelve billion, three hundred forty million, six hundred thousand, three hundred five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 613 935 1839 2805 3065 6743 7177 9195 10421 20229 21531 31263 33715 35885 52105 78947 101145 107655 114631 122009 156315 236841 343893 366027 394735 573155 610045 1184205 1342099 1719465 1830135 4026297 4399501 6710495 13198503 20131485 21997505 48394511 65992515 74791517 145183533 224374551 241972555 373957585 725917665 822706687 1121872755 2468120061 4113533435 12340600305