369 (number)

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

← 368 369 370 →
List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
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

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 sums of their prime factors are equivalent.^[5]

References

1. Kraitchik, M (1942). "Magic Squares". Mathematical Recreations. New York: Norton. pp. 142–192.
2. Sequence A006003 in OEIS.
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. Sequence A000105 in OEIS.
5. "Ruth-Aaron Pair". mathworld.wolfram.com.