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444623321 = 1721738893
BaseRepresentation
bin11010100000000…
…110100111011001
31010222122012112102
4122200012213121
51402310421241
6112041453145
714006143622
oct3240064731
91128565472
10444623321
11208a8409a
12104aa11b5
137116662c
144309ca49
152907a39b
hex1a8069d9

444623321 has 12 divisors (see below), whose sum is σ = 475099692. Its totient is φ = 416003328.

The previous prime is 444623303. The next prime is 444623357. The reversal of 444623321 is 123326444.

It can be written as a sum of positive squares in 6 ways, for example, as 47059600 + 397563721 = 6860^2 + 19939^2 .

It is not a de Polignac number, because 444623321 - 214 = 444606937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444623521) 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 in 11 ways as a sum of consecutive naturals, for example, 45551 + ... + 54443.

It is an arithmetic number, because the mean of its divisors is an integer number (39591641).

Almost surely, 2444623321 is an apocalyptic number.

It is an amenable number.

444623321 is a deficient number, since it is larger than the sum of its proper divisors (30476371).

444623321 is a wasteful number, since it uses less digits than its factorization.

444623321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9083 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 444623321 is about 21086.0930710267. The cubic root of 444623321 is about 763.2451959072.

Adding to 444623321 its reverse (123326444), we get a palindrome (567949765).

The spelling of 444623321 in words is "four hundred forty-four million, six hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 17 173 289 2941 8893 49997 151181 1538489 2570077 26154313 444623321