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414339841 is a prime number
BaseRepresentation
bin11000101100100…
…101001100000001
31001212122122102001
4120230211030001
51322032333331
6105040424001
713160554606
oct3054451401
91055578361
10414339841
111a297a723
12b6918001
1367ac2606
143d0586ad
1526597561
hex18b25301

414339841 has 2 divisors, whose sum is σ = 414339842. Its totient is φ = 414339840.

The previous prime is 414339833. The next prime is 414339857. The reversal of 414339841 is 148933414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307651600 + 106688241 = 17540^2 + 10329^2 .

It is a cyclic number.

It is not a de Polignac number, because 414339841 - 23 = 414339833 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414339841.

It is not a weakly prime, because it can be changed into another prime (414339811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207169920 + 207169921.

It is an arithmetic number, because the mean of its divisors is an integer number (207169921).

Almost surely, 2414339841 is an apocalyptic number.

It is an amenable number.

414339841 is a deficient number, since it is larger than the sum of its proper divisors (1).

414339841 is an equidigital number, since it uses as much as digits as its factorization.

414339841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 37.

The square root of 414339841 is about 20355.3393732455. The cubic root of 414339841 is about 745.5078686511.

The spelling of 414339841 in words is "four hundred fourteen million, three hundred thirty-nine thousand, eight hundred forty-one".