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641254329 = 322323672
BaseRepresentation
bin100110001110001…
…100001110111001
31122200122002120100
4212032030032321
52303130114304
6143344150013
721614400102
oct4616141671
91580562510
10641254329
112a9a75961
1215a908309
13a2b11341
14612453a9
153b46b439
hex2638c3b9

641254329 has 27 divisors (see below), whose sum is σ = 970924773. Its totient is φ = 407801592.

The previous prime is 641254307. The next prime is 641254349. The reversal of 641254329 is 923452146.

It is a happy number.

The square root of 641254329 is 25323.

It is a perfect power (a square), and thus also a powerful number.

641254329 is a `hidden beast` number, since 641 + 2 + 5 + 4 + 3 + 2 + 9 = 666.

641254329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 641254329 - 211 = 641252281 is a prime.

It is a super-2 number, since 2×6412543292 = 822414228922480482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641254293 and 641254302.

It is not an unprimeable number, because it can be changed into a prime (641254349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1747104 + ... + 1747470.

Almost surely, 2641254329 is an apocalyptic number.

641254329 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

641254329 is the 25323-rd square number.

641254329 is the 12662-nd centered octagonal number.

It is an amenable number.

641254329 is a deficient number, since it is larger than the sum of its proper divisors (329670444).

641254329 is an equidigital number, since it uses as much as digits as its factorization.

641254329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 641254329 is about 862.3365023423.

Multiplying 641254329 by its sum of digits (36), we get a square (23085155844 = 1519382).

The spelling of 641254329 in words is "six hundred forty-one million, two hundred fifty-four thousand, three hundred twenty-nine".

Divisors: 1 3 9 23 69 207 367 529 1101 1587 3303 4761 8441 25323 75969 134689 194143 404067 582429 1212201 1747287 3097847 9293541 27880623 71250481 213751443 641254329