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40320289 is a prime number
BaseRepresentation
bin1001100111001…
…1110100100001
32210212111001001
42121303310201
540310222124
64000112001
7666500602
oct231636441
983774031
1040320289
112083a259
1211605601
138479579
1454d7da9
153816b44
hex2673d21

40320289 has 2 divisors, whose sum is σ = 40320290. Its totient is φ = 40320288.

The previous prime is 40320271. The next prime is 40320307. The reversal of 40320289 is 98202304.

40320289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (40320271) and next prime (40320307).

It can be written as a sum of positive squares in only one way, i.e., 39589264 + 731025 = 6292^2 + 855^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320289 - 29 = 40319777 is a prime.

It is not a weakly prime, because it can be changed into another prime (40320229) 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, 20160144 + 20160145.

It is an arithmetic number, because the mean of its divisors is an integer number (20160145).

Almost surely, 240320289 is an apocalyptic number.

It is an amenable number.

40320289 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320289 is an equidigital number, since it uses as much as digits as its factorization.

40320289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 40320289 is about 6349.8259031252. The cubic root of 40320289 is about 342.9055745653.

The spelling of 40320289 in words is "forty million, three hundred twenty thousand, two hundred eighty-nine".