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643241601 = 33431813061
BaseRepresentation
bin100110010101110…
…001011010000001
31122211101001121000
4212111301122001
52304132212401
6143454522213
721640314642
oct4625613201
91584331530
10643241601
11300102a32
1215b506369
13a3358a42
14616016c9
153b710186
hex26571681

643241601 has 32 divisors (see below), whose sum is σ = 980819840. Its totient is φ = 416404800.

The previous prime is 643241593. The next prime is 643241609. The reversal of 643241601 is 106142346.

643241601 is a `hidden beast` number, since 643 + 2 + 4 + 16 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (643241593) and next prime (643241609).

It is not a de Polignac number, because 643241601 - 23 = 643241593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (643241609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208611 + ... + 211671.

It is an arithmetic number, because the mean of its divisors is an integer number (30650620).

Almost surely, 2643241601 is an apocalyptic number.

It is an amenable number.

643241601 is a deficient number, since it is larger than the sum of its proper divisors (337578239).

643241601 is a wasteful number, since it uses less digits than its factorization.

643241601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 643241601 is about 25362.2081254768. The cubic root of 643241601 is about 863.2263884496.

Adding to 643241601 its reverse (106142346), we get a palindrome (749383947).

The spelling of 643241601 in words is "six hundred forty-three million, two hundred forty-one thousand, six hundred one".

Divisors: 1 3 9 27 43 129 181 387 543 1161 1629 3061 4887 7783 9183 23349 27549 70047 82647 131623 210141 394869 554041 1184607 1662123 3553821 4986369 14959107 23823763 71471289 214413867 643241601