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3005434241 is a prime number
BaseRepresentation
bin1011001100100011…
…0100100110000001
321202110020212201022
42303020310212001
522123342343431
61214120515225
7134322524645
oct26310644601
97673225638
103005434241
111302542257
126ba61bb15
1338b867b74
1420721cc25
15128cb907b
hexb3234981

3005434241 has 2 divisors, whose sum is σ = 3005434242. Its totient is φ = 3005434240.

The previous prime is 3005434213. The next prime is 3005434249. The reversal of 3005434241 is 1424345003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2214643600 + 790790641 = 47060^2 + 28121^2 .

It is a cyclic number.

It is not a de Polignac number, because 3005434241 - 218 = 3005172097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3005434241.

It is not a weakly prime, because it can be changed into another prime (3005434249) 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 as a sum of consecutive naturals, namely, 1502717120 + 1502717121.

It is an arithmetic number, because the mean of its divisors is an integer number (1502717121).

Almost surely, 23005434241 is an apocalyptic number.

It is an amenable number.

3005434241 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005434241 is an equidigital number, since it uses as much as digits as its factorization.

3005434241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 3005434241 is about 54821.8409121766. The cubic root of 3005434241 is about 1443.1198818815.

Adding to 3005434241 its reverse (1424345003), we get a palindrome (4429779244).

The spelling of 3005434241 in words is "three billion, five million, four hundred thirty-four thousand, two hundred forty-one".