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41383134 = 2321317101103
BaseRepresentation
bin1001110111011…
…1010011011110
32212212110222200
42131313103132
541043230014
64034552330
71011515352
oct235672336
985773880
1041383134
11213a5841
1211a386a6
13875c280
1456d3462
153976a09
hex27774de

41383134 has 96 divisors (see below), whose sum is σ = 104255424. Its totient is φ = 11750400.

The previous prime is 41383127. The next prime is 41383163. The reversal of 41383134 is 43138314.

41383134 = 3182 + 3192 + ... + 5382.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41383098 and 41383107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401727 + ... + 401829.

It is an arithmetic number, because the mean of its divisors is an integer number (1085994).

Almost surely, 241383134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41383134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52127712).

41383134 is an abundant number, since it is smaller than the sum of its proper divisors (62872290).

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

41383134 is a wasteful number, since it uses less digits than its factorization.

41383134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

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

The square root of 41383134 is about 6432.9724078376. The cubic root of 41383134 is about 345.8924844420.

The spelling of 41383134 in words is "forty-one million, three hundred eighty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 101 102 103 117 153 202 206 221 234 303 306 309 442 606 618 663 909 927 1313 1326 1339 1717 1751 1818 1854 1989 2626 2678 3434 3502 3939 3978 4017 5151 5253 7878 8034 10302 10403 10506 11817 12051 15453 15759 20806 22321 22763 23634 24102 30906 31209 31518 44642 45526 62418 66963 68289 93627 133926 135239 136578 176851 187254 200889 204867 270478 353702 401778 405717 409734 530553 811434 1061106 1217151 1591659 2299063 2434302 3183318 4598126 6897189 13794378 20691567 41383134