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414444341 is a prime number
BaseRepresentation
bin11000101100111…
…110101100110101
31001212211221202102
4120230332230311
51322044204331
6105042551445
713161501353
oct3054765465
91055757672
10414444341
111a2a41193
12b6968585
1367b2b04c
143d0847d3
15265b84cb
hex18b3eb35

414444341 has 2 divisors, whose sum is σ = 414444342. Its totient is φ = 414444340.

The previous prime is 414444313. The next prime is 414444389. The reversal of 414444341 is 143444414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 381381841 + 33062500 = 19529^2 + 5750^2 .

It is a cyclic number.

It is not a de Polignac number, because 414444341 - 214 = 414427957 is a prime.

It is a super-2 number, since 2×4144443412 = 343528223573848562, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414444311) 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 as a sum of consecutive naturals, namely, 207222170 + 207222171.

It is an arithmetic number, because the mean of its divisors is an integer number (207222171).

Almost surely, 2414444341 is an apocalyptic number.

It is an amenable number.

414444341 is a deficient number, since it is larger than the sum of its proper divisors (1).

414444341 is an equidigital number, since it uses as much as digits as its factorization.

414444341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12288, while the sum is 29.

The square root of 414444341 is about 20357.9061054913. The cubic root of 414444341 is about 745.5705378387.

Adding to 414444341 its reverse (143444414), we get a palindrome (557888755).

The spelling of 414444341 in words is "four hundred fourteen million, four hundred forty-four thousand, three hundred forty-one".