340

Number
$340$ (three hundred and forty) is:


 * $2^2 \times 5 \times 17$


 * The $14$th integer $m$ such that $m! + 1$ (its factorial plus $1$) is prime:
 * $0$, $1$, $2$, $3$, $11$, $27$, $37$, $41$, $73$, $77$, $116$, $154$, $320$, $340$


 * The $33$rd noncototient after $10$, $26$, $34$, $50$, $\ldots$, $244$, $260$, $266$, $268$, $274$, $290$, $292$, $298$, $310$, $326$:
 * $\nexists m \in \Z_{>0}: m - \map \phi m = 340$
 * where $\map \phi m$ denotes the Euler $\phi$ function