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1004330241 = 32941118589
BaseRepresentation
bin111011110111001…
…101110100000001
32120222211021002100
4323313031310001
54024102031431
6243354141013
733613444335
oct7367156401
92528737070
101004330241
11475a111a2
12240421769
131300c5165
14975577c5
155d2894e6
hex3bdcdd01

1004330241 has 12 divisors (see below), whose sum is σ = 1452253140. Its totient is φ = 668836320.

The previous prime is 1004330207. The next prime is 1004330269. The reversal of 1004330241 is 1420334001.

It can be written as a sum of positive squares in 2 ways, for example, as 197543025 + 806787216 = 14055^2 + 28404^2 .

It is not a de Polignac number, because 1004330241 - 223 = 995941633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004330441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 50826 + ... + 67763.

It is an arithmetic number, because the mean of its divisors is an integer number (121021095).

Almost surely, 21004330241 is an apocalyptic number.

It is an amenable number.

1004330241 is a deficient number, since it is larger than the sum of its proper divisors (447922899).

1004330241 is a wasteful number, since it uses less digits than its factorization.

1004330241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119536 (or 119533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1004330241 is about 31691.1697638317. The cubic root of 1004330241 is about 1001.4413352213.

Adding to 1004330241 its reverse (1420334001), we get a palindrome (2424664242).

The spelling of 1004330241 in words is "one billion, four million, three hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 9 941 2823 8469 118589 355767 1067301 111592249 334776747 1004330241