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40344257 is a prime number
BaseRepresentation
bin1001100111100…
…1101011000001
32210220200220202
42121321223001
540312004012
64000414545
7666630512
oct231715301
983820822
1040344257
1120856268
1211617455
138487455
145502a09
15381dcc2
hex2679ac1

40344257 has 2 divisors, whose sum is σ = 40344258. Its totient is φ = 40344256.

The previous prime is 40344229. The next prime is 40344263. The reversal of 40344257 is 75244304.

40344257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35331136 + 5013121 = 5944^2 + 2239^2 .

It is a cyclic number.

It is not a de Polignac number, because 40344257 - 218 = 40082113 is a prime.

It is not a weakly prime, because it can be changed into another prime (40340257) 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, 20172128 + 20172129.

It is an arithmetic number, because the mean of its divisors is an integer number (20172129).

Almost surely, 240344257 is an apocalyptic number.

It is an amenable number.

40344257 is a deficient number, since it is larger than the sum of its proper divisors (1).

40344257 is an equidigital number, since it uses as much as digits as its factorization.

40344257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 40344257 is about 6351.7129185756. The cubic root of 40344257 is about 342.9735067242.

The spelling of 40344257 in words is "forty million, three hundred forty-four thousand, two hundred fifty-seven".