6348

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


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


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