2304

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


 * $2^8 \times 3^2$


 * The $18$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $324$, $400$, $576$, $784$, $900$, $961$, $1024$, $1296$, $1600$, $1764$, $1936$ to be the $\sigma$ (sigma) value of some (strictly) positive integer:
 * $2304 = \map \sigma {\cdots}$


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


 * The $48$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $1296$, $1369$, $1444$, $1521$, $1600$, $1681$, $1764$, $1849$, $1936$, $2025$, $2116$, $2209$:
 * $2304 = 48 \times 48$