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320445441 = 32268913241
BaseRepresentation
bin10011000110011…
…001110000000001
3211022222022111200
4103012121300001
51124013223231
651444131413
710640512161
oct2306316001
9738868450
10320445441
11154979448
128b396b69
1351508bb4
14307b65a1
151d1ebbe6
hex13199c01

320445441 has 12 divisors (see below), whose sum is σ = 463072740. Its totient is φ = 213534720.

The previous prime is 320445439. The next prime is 320445467. The reversal of 320445441 is 144544023.

It is a happy number.

320445441 is a `hidden beast` number, since 3 + 204 + 454 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179667216 + 140778225 = 13404^2 + 11865^2 .

It is not a de Polignac number, because 320445441 - 21 = 320445439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320445421) 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 in 11 ways as a sum of consecutive naturals, for example, 17581 + ... + 30821.

It is an arithmetic number, because the mean of its divisors is an integer number (38589395).

Almost surely, 2320445441 is an apocalyptic number.

It is an amenable number.

320445441 is a deficient number, since it is larger than the sum of its proper divisors (142627299).

320445441 is a wasteful number, since it uses less digits than its factorization.

320445441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15936 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 320445441 is about 17900.9899446930. The cubic root of 320445441 is about 684.3076037716.

Adding to 320445441 its reverse (144544023), we get a palindrome (464989464).

The spelling of 320445441 in words is "three hundred twenty million, four hundred forty-five thousand, four hundred forty-one".

Divisors: 1 3 9 2689 8067 13241 24201 39723 119169 35605049 106815147 320445441