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320431041 = 3272726601
BaseRepresentation
bin10011000110010…
…110001111000001
3211022221120202100
4103012112033001
51124012243131
651443541013
710640422200
oct2306261701
9738846670
10320431041
11154969647
128b38a769
1351502488
14307b1237
151d1e77e6
hex131963c1

320431041 has 18 divisors (see below), whose sum is σ = 538412082. Its totient is φ = 183103200.

The previous prime is 320431039. The next prime is 320431073. The reversal of 320431041 is 140134023.

It can be written as a sum of positive squares in only one way, i.e., 258084225 + 62346816 = 16065^2 + 7896^2 .

It is not a de Polignac number, because 320431041 - 21 = 320431039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320431021) 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 17 ways as a sum of consecutive naturals, for example, 362860 + ... + 363741.

Almost surely, 2320431041 is an apocalyptic number.

It is an amenable number.

320431041 is a deficient number, since it is larger than the sum of its proper divisors (217981041).

320431041 is a wasteful number, since it uses less digits than its factorization.

320431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726621 (or 726611 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320431041 is about 17900.5877277815. The cubic root of 320431041 is about 684.2973532725.

Adding to 320431041 its reverse (140134023), we get a palindrome (460565064).

The spelling of 320431041 in words is "three hundred twenty million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 726601 2179803 5086207 6539409 15258621 35603449 45775863 106810347 320431041