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1306434663 = 34140911447
BaseRepresentation
bin100110111011110…
…1001110001100111
310101001021202110000
41031313221301213
510133421402123
6333345232343
744242340262
oct11567516147
93331252400
101306434663
116104a2776
123056326b3
1317a87ba81
14c5717cd9
1579a61b43
hex4dde9c67

1306434663 has 20 divisors (see below), whose sum is σ = 1953143280. Its totient is φ = 870262272.

The previous prime is 1306434653. The next prime is 1306434671. The reversal of 1306434663 is 3664346031.

1306434663 is a `hidden beast` number, since 1 + 3 + 0 + 643 + 4 + 6 + 6 + 3 = 666.

It is not a de Polignac number, because 1306434663 - 25 = 1306434631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306434653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108406 + ... + 119852.

It is an arithmetic number, because the mean of its divisors is an integer number (97657164).

Almost surely, 21306434663 is an apocalyptic number.

1306434663 is a deficient number, since it is larger than the sum of its proper divisors (646708617).

1306434663 is a wasteful number, since it uses less digits than its factorization.

1306434663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868 (or 12859 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 1306434663 is about 36144.6353280815. The cubic root of 1306434663 is about 1093.1906241477.

The spelling of 1306434663 in words is "one billion, three hundred six million, four hundred thirty-four thousand, six hundred sixty-three".

Divisors: 1 3 9 27 81 1409 4227 11447 12681 34341 38043 103023 114129 309069 927207 16128823 48386469 145159407 435478221 1306434663