6348

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Number

$6348$ (six thousand, three hundred and forty-eight) is:

$2^2 \times 3 \times 23^2$


The $23$rd pentagonal pyramidal number after $1$, $6$, $12$, $40$, $75$, $\ldots$, $1470$, $1800$, $2176$, $2601$, $3078$, $3610$, $4200$, $4851$, $5566$:
$6348 = \ds \sum_{k \mathop = 1}^{23} \dfrac {k \paren {3 k - 1} } 2 = \dfrac {23^2 \paren {23 + 1} } 2$


Also see