2304

Number
$2304$ (two thousand, three hundred and four) is:


 * $2^8 \times 3^2$


 * The $48$th square number after $1, 4, 9, 16, 25, 36, \ldots, 1296, 1369, 1444, 1521, 1600, 1681, 1764, 1936, 2025, 2116, 2209$:
 * $2304 = 48 \times 48$


 * The $42$nd positive integer which cannot be expressed as the sum of a square and a prime:
 * $1, 10, 25, 34, 58, 64, 85, \ldots, 1024, 1089, 1225, 1255, 1351, 1414, 1444, 1521, 1681, 1849, 1906, 1936, 2116, 2209, 2304, \ldots$