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369 (number)

From Wikipedia, the free encyclopedia
Natural number
← 368369 370 →
Cardinalthree hundred sixty-nine
Ordinal369th
(three hundred sixty-ninth)
Factorization32 × 41
Divisors1, 3, 9, 41, 123, 369
Greek numeralΤΞΘ´
Roman numeralCCCLXIX,ccclxix
Binary1011100012
Ternary1112003
Senary14136
Octal5618
Duodecimal26912
Hexadecimal17116

369 (three hundred [and] sixty-nine) is thenatural number following 368 and preceding 370.

In mathematics

[edit]

369 is themagic constant of the9 × 9magic square[1][2] and then-Queens Problem forn = 9.[2]

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

369 is aRuth-Aaron Pair with370. The sums of theirprime factors are equivalent.[5]

References

[edit]
  1. ^Kraitchik, M (1942). "Magic Squares".Mathematical Recreations. New York: Norton. pp. 142–192.
  2. ^abSequenceA006003 inOEIS.
  3. ^Redelmeier, D. Hugh (1981)."Counting polyominoes: yet another attack".Discrete Mathematics.36 (2):191–203.doi:10.1016/0012-365X(81)90237-5.
  4. ^SequenceA000105 inOEIS.
  5. ^"Ruth-Aaron Pair".mathworld.wolfram.com.
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