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6434540361 = 321942618831
BaseRepresentation
bin1011111111000011…
…10100101101001001
3121121102201111222200
411333201310231021
5101134220242421
62542254310413
7315311455614
oct57741645511
917542644880
106434540361
112802148457
1212b6ab8409
137b7111b42
1445080517b
15279d70726
hex17f874b49

6434540361 has 24 divisors (see below), whose sum is σ = 9786915840. Its totient is φ = 4062506400.

The previous prime is 6434540351. The next prime is 6434540377. The reversal of 6434540361 is 1630454346.

6434540361 is a `hidden beast` number, since 643 + 4 + 5 + 4 + 0 + 3 + 6 + 1 = 666.

It is not a de Polignac number, because 6434540361 - 215 = 6434507593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6434540351) 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 23 ways as a sum of consecutive naturals, for example, 724216 + ... + 733046.

It is an arithmetic number, because the mean of its divisors is an integer number (407788160).

Almost surely, 26434540361 is an apocalyptic number.

It is an amenable number.

6434540361 is a deficient number, since it is larger than the sum of its proper divisors (3352375479).

6434540361 is a wasteful number, since it uses less digits than its factorization.

6434540361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13117 (or 13114 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6434540361 is about 80215.5867709013. The cubic root of 6434540361 is about 1859.9695876054.

The spelling of 6434540361 in words is "six billion, four hundred thirty-four million, five hundred forty thousand, three hundred sixty-one".

Divisors: 1 3 9 19 57 171 4261 8831 12783 26493 38349 79479 80959 167789 242877 503367 728631 1510101 37628891 112886673 338660019 714948929 2144846787 6434540361