3400

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Number

$3400$ (three thousand, four hundred) is:

$2^3 \times 5^2 \times 17$

The $34$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $2296$, $2465$, $2640$, $2821$, $3008$, $3201$:

$3400 = \ds \sum_{k \mathop = 1}^{34} \paren {6 k - 5} = 34 \paren {3 \times 34 - 2}$

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