16,384

Number
$16 \, 384$ (sixteen thousand, three hundred and eighty-four) is:


 * $2^{14}$


 * The $4$th seventh power after $1$, $128$, $2187$:
 * $16 \, 384 = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4$


 * The $7$th power of $4$ after $(1)$, $4$, $16$, $64$, $256$, $1024$, $4096$:
 * $16 \, 384 = 4^7$


 * The $14$th power of $2$ after $(1)$, $2$, $4$, $8$, $16$, $32$, $64$, $128$, $256$, $512$, $1024$, $2048$, $4096$, $8192$:
 * $16 \, 384 = 2^{14}$


 * The $15$th almost perfect number after $1$, $2$, $4$, $8$, $16$, $32$, $64$, $128$, $256$, $512$, $1024$, $2048$, $4096$, $8192$:
 * $\map \sigma {16 \, 384} = 32 \, 767 = 2 \times 16 \, 384 - 1$


 * The $128$th square number:
 * $16 \, 384 = 128 \times 128$