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644131341 = 32773227617
BaseRepresentation
bin100110011001001…
…010101000001101
31122220001021002100
4212121022220031
52304344200331
6143525545313
721651011640
oct4631125015
91586037070
10644131341
11300660457
1215b875239
13a35aaa09
1461793a57
153b838ae6
hex2664aa0d

644131341 has 48 divisors (see below), whose sum is σ = 1084397184. Its totient is φ = 360847872.

The previous prime is 644131339. The next prime is 644131349. The reversal of 644131341 is 143131446.

644131341 is a `hidden beast` number, since 644 + 1 + 3 + 13 + 4 + 1 = 666.

It is not a de Polignac number, because 644131341 - 21 = 644131339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644131349) 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 47 ways as a sum of consecutive naturals, for example, 1043665 + ... + 1044281.

It is an arithmetic number, because the mean of its divisors is an integer number (22591608).

Almost surely, 2644131341 is an apocalyptic number.

It is an amenable number.

644131341 is a deficient number, since it is larger than the sum of its proper divisors (440265843).

644131341 is a wasteful number, since it uses less digits than its factorization.

644131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 927 counting only the distinct ones).

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

The square root of 644131341 is about 25379.7427291925. The cubic root of 644131341 is about 863.6242136697.

Adding to 644131341 its reverse (143131446), we get a palindrome (787262787).

The spelling of 644131341 in words is "six hundred forty-four million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 73 219 227 511 617 657 681 1533 1589 1851 2043 4319 4599 4767 5553 12957 14301 16571 38871 45041 49713 115997 135123 140059 149139 315287 347991 405369 420177 945861 980413 1043973 1260531 2837583 2941239 8823717 10224307 30672921 71570149 92018763 214710447 644131341