288

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Number

$288$ (two hundred and eighty-eight) is:

$2^5 \times 3^2$


The smallest integer multiple of $9$ all of whose digits are even:
$288 = 32 \times 9$


The product of the number of edges, edges per face and faces of a cube.


The product of the number of edges, edges per face and faces of a regular octahedron.


The smaller of the $2$nd pair of consecutive powerful numbers:
$288 = 2^5 \times 3^2$, $289 = 17^2$


The $4$th superfactorial after $1$, $2$, $12$:
$288 = 4\$ = 4! \times 3! \times 2! \times 1!$


The $4$th positive integer after $128$, $192$, $256$ with $7$ or more prime factors:
$288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$


The $8$th pentagonal pyramidal number after $1$, $6$, $12$, $40$, $75$, $126$, $196$:
$288 = 1 + 5 + 12 + 22 + 35 + 51 + 70 + 92 = \dfrac {8^2 \paren {8 + 1} } 2$


The $11$th positive integer after $64$, $96$, $128$, $144$, $160$, $192$, $216$, $224$, $240$, $256$ with $6$ or more prime factors:
$288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \paren {\times \, 3}$


The $20$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $146$, $162$, $188$, $206$, $210$, $216$, $238$, $246$, $248$, $262$, $268$, $276$


The $28$th powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $144$, $169$, $196$, $200$, $216$, $225$, $243$, $256$


The $30$th highly abundant number after $1$, $2$, $3$, $4$, $6$, $8$, $10$, $\ldots$, $120$, $144$, $168$, $180$, $210$, $216$, $240$:
$\map {\sigma_1} {288} = 819$


Also see



Sources

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