384

Number
$384$ (three hundred and eighty-four) is:


 * $2^7 \times 3$


 * The $6$th positive integer after $128$, $192$, $256$, $288$, $320$ with $7$ or more prime factors:
 * $384 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \, \paren {\times \, 3}$


 * The index (after $2$, $3$, $6$, $30$, $75$, $81$, $115$, $123$, $249$, $362$) of the $11$th Woodall prime:
 * $384 \times 2^{384} - 1$


 * The $17$th positive integer after $64$, $96$, $128$, $144$, $160$, $192$, $216$, $224$, $240$, $256$, $288$, $320$, $324$, $336$, $352$, $360$ with $6$ or more prime factors:
 * $384 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \, \paren {\times \, 2 \times 3}$


 * The $28$th Zuckerman number after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $\ldots$, $135$, $144$, $175$, $212$, $216$, $224$, $312$, $315$:
 * $384 = 4 \times 96 = 4 \times \paren {3 \times 8 \times 4}$