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641344536 = 233272181787
BaseRepresentation
bin100110001110100…
…010010000011000
31122200210200022100
4212032202100120
52303141011121
6143350123400
721615224100
oct4616422030
91580720270
10641344536
112aa027708
1215a950560
13a2b43411
146126a200
153b488026
hex263a2418

641344536 has 72 divisors (see below), whose sum is σ = 2020573620. Its totient is φ = 183240288.

The previous prime is 641344531. The next prime is 641344537. The reversal of 641344536 is 635443146.

641344536 is a `hidden beast` number, since 641 + 3 + 4 + 4 + 5 + 3 + 6 = 666.

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

It is a super-2 number, since 2×6413445362 = 822645627714110592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 641344536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641344531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87366 + ... + 94421.

Almost surely, 2641344536 is an apocalyptic number.

It is an amenable number.

641344536 is an abundant number, since it is smaller than the sum of its proper divisors (1379229084).

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

641344536 is a wasteful number, since it uses less digits than its factorization.

641344536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181813 (or 181799 counting only the distinct ones).

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

The square root of 641344536 is about 25324.7810651938. The cubic root of 641344536 is about 862.3769361910.

The spelling of 641344536 in words is "six hundred forty-one million, three hundred forty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 181787 363574 545361 727148 1090722 1272509 1454296 1636083 2181444 2545018 3272166 3817527 4362888 5090036 6544332 7635054 8907563 10180072 11452581 13088664 15270108 17815126 22905162 26722689 30540216 35630252 45810324 53445378 71260504 80168067 91620648 106890756 160336134 213781512 320672268 641344536