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36814409 is a prime number
BaseRepresentation
bin1000110001101…
…1111001001001
32120021100212122
42030123321021
533411030114
63353021025
7624626432
oct214337111
976240778
1036814409
1119865235
12103b4775
13781c898
144c64489
153372e8e
hex231be49

36814409 has 2 divisors, whose sum is σ = 36814410. Its totient is φ = 36814408.

The previous prime is 36814387. The next prime is 36814429. The reversal of 36814409 is 90441863.

36814409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34164025 + 2650384 = 5845^2 + 1628^2 .

It is a cyclic number.

It is not a de Polignac number, because 36814409 - 212 = 36810313 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36814429) 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, 18407204 + 18407205.

It is an arithmetic number, because the mean of its divisors is an integer number (18407205).

Almost surely, 236814409 is an apocalyptic number.

It is an amenable number.

36814409 is a deficient number, since it is larger than the sum of its proper divisors (1).

36814409 is an equidigital number, since it uses as much as digits as its factorization.

36814409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 36814409 is about 6067.4878656657. The cubic root of 36814409 is about 332.6641065278.

The spelling of 36814409 in words is "thirty-six million, eight hundred fourteen thousand, four hundred nine".