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3241138761 = 327227112
BaseRepresentation
bin1100000100101111…
…1101101001001001
322100212202220112100
43001023331221021
523114212420021
61253340504013
7143214140100
oct30113755111
98325686470
103241138761
1114135a1583
1276554b009
133c86437b3
1422a657037
1513e827626
hexc12fda49

3241138761 has 27 divisors (see below), whose sum is σ = 5448004653. Its totient is φ = 1851396120.

The previous prime is 3241138729. The next prime is 3241138777. The reversal of 3241138761 is 1678311423.

It is a happy number.

The square root of 3241138761 is 56931.

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

3241138761 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3241138761 - 25 = 3241138729 is a prime.

It is a super-3 number, since 3×32411387613 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3241138561) 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, 1194196 + ... + 1196906.

Almost surely, 23241138761 is an apocalyptic number.

3241138761 is the 56931-st square number.

3241138761 is the 28466-th centered octagonal number.

It is an amenable number.

3241138761 is a deficient number, since it is larger than the sum of its proper divisors (2206865892).

3241138761 is an frugal number, since it uses more digits than its factorization.

3241138761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 2721 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The cubic root of 3241138761 is about 1479.9005839296.

Multiplying 3241138761 by its sum of digits (36), we get a square (116680995396 = 3415862).

The spelling of 3241138761 in words is "three billion, two hundred forty-one million, one hundred thirty-eight thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 2711 8133 18977 24399 56931 132839 170793 398517 1195551 7349521 22048563 51446647 66145689 154339941 360126529 463019823 1080379587 3241138761