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444342241 = 729068209
BaseRepresentation
bin11010011111000…
…001111111100001
31010222002220222001
4122133001333201
51402222422431
6112031444001
714003563300
oct3237017741
91128086861
10444342241
112089019a2
12104986601
1371098705
1443028437
1529021e61
hex1a7c1fe1

444342241 has 6 divisors (see below), whose sum is σ = 516887970. Its totient is φ = 380864736.

The previous prime is 444342233. The next prime is 444342247. The reversal of 444342241 is 142243444.

It can be written as a sum of positive squares in only one way, i.e., 326163600 + 118178641 = 18060^2 + 10871^2 .

It is not a de Polignac number, because 444342241 - 23 = 444342233 is a prime.

It is a super-3 number, since 3×4443422413 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444342247) 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 in 5 ways as a sum of consecutive naturals, for example, 4534056 + ... + 4534153.

It is an arithmetic number, because the mean of its divisors is an integer number (86147995).

Almost surely, 2444342241 is an apocalyptic number.

It is an amenable number.

444342241 is a deficient number, since it is larger than the sum of its proper divisors (72545729).

444342241 is an equidigital number, since it uses as much as digits as its factorization.

444342241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9068223 (or 9068216 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 444342241 is about 21079.4269609019. The cubic root of 444342241 is about 763.0843270151.

Adding to 444342241 its reverse (142243444), we get a palindrome (586585685).

The spelling of 444342241 in words is "four hundred forty-four million, three hundred forty-two thousand, two hundred forty-one".

Divisors: 1 7 49 9068209 63477463 444342241