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405354241 is a prime number
BaseRepresentation
bin11000001010010…
…011011100000001
31001020202010111001
4120022103130001
51312232313431
6104120052001
713021311535
oct3012233401
91036663431
10405354241
111988a2706
12b3904001
1365c976a6
143bb99bc5
15258bee61
hex18293701

405354241 has 2 divisors, whose sum is σ = 405354242. Its totient is φ = 405354240.

The previous prime is 405354193. The next prime is 405354253. The reversal of 405354241 is 142453504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394856641 + 10497600 = 19871^2 + 3240^2 .

It is a cyclic number.

It is not a de Polignac number, because 405354241 - 215 = 405321473 is a prime.

It is not a weakly prime, because it can be changed into another prime (405354281) 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, 202677120 + 202677121.

It is an arithmetic number, because the mean of its divisors is an integer number (202677121).

Almost surely, 2405354241 is an apocalyptic number.

It is an amenable number.

405354241 is a deficient number, since it is larger than the sum of its proper divisors (1).

405354241 is an equidigital number, since it uses as much as digits as its factorization.

405354241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 405354241 is about 20133.4110622120. The cubic root of 405354241 is about 740.0792713959.

The spelling of 405354241 in words is "four hundred five million, three hundred fifty-four thousand, two hundred forty-one".