369 (number)
From HandWiki
Short description: Natural 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 | |||
| 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
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 sum of their prime factors are equivalent.[5]
References
- ↑ Kraitchik, M (1942). "Magic Squares". Mathematical Recreations. New York: Norton. pp. 142–192.
- ↑ 2.0 2.1 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". https://mathworld.wolfram.com/Ruth-AaronPair.html.
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