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409369 is a prime number
BaseRepresentation
bin1100011111100011001
3202210112211
41203330121
5101044434
612435121
73323332
oct1437431
9683484
10409369
1125a624
12178aa1
1311443c
14a9289
1581464
hex63f19

409369 has 2 divisors, whose sum is σ = 409370. Its totient is φ = 409368.

The previous prime is 409351. The next prime is 409379. The reversal of 409369 is 963904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405769 + 3600 = 637^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 409369 - 25 = 409337 is a prime.

It is a super-2 number, since 2×4093692 = 335165956322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 409369.

It is not a weakly prime, because it can be changed into another prime (409349) 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 as a sum of consecutive naturals, namely, 204684 + 204685.

It is an arithmetic number, because the mean of its divisors is an integer number (204685).

2409369 is an apocalyptic number.

It is an amenable number.

409369 is a deficient number, since it is larger than the sum of its proper divisors (1).

409369 is an equidigital number, since it uses as much as digits as its factorization.

409369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 409369 is about 639.8195057983. The cubic root of 409369 is about 74.2514576836.

It can be divided in two parts, 40 and 9369, that added together give a square (9409 = 972).

The spelling of 409369 in words is "four hundred nine thousand, three hundred sixty-nine".