369 (number)

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368 369 370
Cardinal three hundred sixty-nine
Ordinal 369th
(three hundred and sixty-ninth)
Factorization 32× 41
Divisors 1, 3, 9, 41, 123, 369 kkk
Roman numeral CCCLXIX
Binary 1011100012
Ternary 1112003
Quaternary 113014
Quinary 24345
Senary 14136
Octal 5618
Duodecimal 26912
Hexadecimal 17116
Vigesimal I920
Base 36 A936

Three hundred sixty-nine is the natural number following three hundred sixty-eight and preceding three hundred seventy.

In mathematics[edit]

369 is the magic constant of the 9 × 9 magic square[1][2] and the n-Queens Problem for n = 9.[2]

There are 369 free octominoes (polyominoes of order 8).[3][4]

In other fields[edit]

369 is also:

References[edit]

  1. ^ Kraitchik, M (1942). "Magic Squares". Mathematical Recreations. New York: Norton. pp. 142–192. 
  2. ^ a b Sequence A006003 in OEIS.
  3. ^ Redelmeier, D. Hugh (1981). "Counting polyominoes: yet another attack". Discrete Mathematics 36: 191–203. doi:10.1016/0012-365X(81)90237-5. 
  4. ^ Sequence A000105 in OEIS.