300
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Number
$300$ (three hundred) is:
- $2^2 \times 3 \times 5^2$
- The $24$th triangular number after $1$, $3$, $6$, $10$, $15$, $\ldots$, $171$, $190$, $210$, $231$, $253$, $276$:
- $300 = \ds \sum_{k \mathop = 1}^{24} k = \dfrac {24 \times \paren {24 + 1} } 2$
- The $31$st highly abundant number after $1$, $2$, $3$, $4$, $6$, $8$, $10$, $\ldots$, $120$, $144$, $168$, $180$, $210$, $216$, $240$, $288$:
- $\map {\sigma_1} {300} = 868$