376

Number

$376$ (three hundred and seventy-six) is:

$2^3 \times 47$

The $6$th automorphic number after $1$, $5$, $6$, $25$, $76$:

$376^2 = 141 \, \mathbf {376}$

The $16$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $51$, $70$, $92$, $117$, $145$, $176$, $210$, $247$, $287$, $330$:

$376 = \ds \sum_{k \mathop = 1}^{16} \paren {3 k - 2} = \dfrac {16 \paren {3 \times 16 - 1} } 2$

The $17$th trimorphic number after $1$, $4$, $5$, $6$, $9$, $24$, $25$, $49$, $51$, $75$, $76$, $99$, $125$, $249$, $251$, $375$:

$376^3 = 53 \, 157 \, \mathbf {376}$

The $31$st generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $222$, $247$, $260$, $287$, $301$, $330$, $345$:

$376 = \dfrac {16 \paren {3 \times 16 - 1} } 2$