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40320769 is a prime number
BaseRepresentation
bin1001100111001…
…1111100000001
32210212111200211
42121303330001
540310231034
64000114121
7666502156
oct231637401
983774624
1040320769
112083a655
1211605941
138479858
1454d822d
153816d64
hex2673f01

40320769 has 2 divisors, whose sum is σ = 40320770. Its totient is φ = 40320768.

The previous prime is 40320767. The next prime is 40320779. The reversal of 40320769 is 96702304.

40320769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30636225 + 9684544 = 5535^2 + 3112^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320769 - 21 = 40320767 is a prime.

It is a super-2 number, since 2×403207692 = 3251528825502722, which contains 22 as substring.

Together with 40320767, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 40320769.

It is not a weakly prime, because it can be changed into another prime (40320767) 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, 20160384 + 20160385.

It is an arithmetic number, because the mean of its divisors is an integer number (20160385).

Almost surely, 240320769 is an apocalyptic number.

It is an amenable number.

40320769 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320769 is an equidigital number, since it uses as much as digits as its factorization.

40320769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 40320769 is about 6349.8636993246. The cubic root of 40320769 is about 342.9069352866.

The spelling of 40320769 in words is "forty million, three hundred twenty thousand, seven hundred sixty-nine".