369 (number)
| ||||
|---|---|---|---|---|
| Cardinal | three hundred sixty-nine | |||
| Ordinal | 369th (three hundred sixty-ninth) | |||
| Factorization | 32 × 41 | |||
| Divisors | 1, 3, 9, 41, 123, 369 | |||
| Greek numeral | ΤΞΘ´ | |||
| Roman numeral | CCCLXIX | |||
| Binary | 1011100012 | |||
| Ternary | 1112003 | |||
| Senary | 14136 | |||
| Octal | 5618 | |||
| Duodecimal | 26912 | |||
| Hexadecimal | 17116 | |||
369 (three hundred [and] sixty-nine) is the natural number following 368 and preceding 370.
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]
369 is a Ruth-Aaron Pair with 370. The sums of their prime factors are equivalent.[5]
References
[edit]- ^ Kraitchik, M (1942). "Magic Squares". Mathematical Recreations. New York: Norton. pp. 142–192.
- ^ a b Sequence A006003 in OEIS.
- ^ Redelmeier, D. Hugh (1981). "Counting polyominoes: yet another attack". Discrete Mathematics. 36 (2): 191–203. doi:10.1016/0012-365X(81)90237-5.
- ^ Sequence A000105 in OEIS.
- ^ "Ruth-Aaron Pair". mathworld.wolfram.com.