343

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Number

$343$ (three hundred and forty-three) is:

$7^3$

The $3$rd power of $7$ after $(1)$, $7$, $49$:

$343 = 7^3$

The $3$rd palindromic cube after $1$, $8$:

$343 = 7^3$

The $7$th cube number after $1$, $8$, $27$, $64$, $125$, $216$:

$343 = 7 \times 7 \times 7$

The $10$th Friedman number base $10$ after $25$, $121$, $125$, $126$, $127$, $128$, $153$, $216$, $289$:

$343 = \paren {3 + 4}^3$

The $18$th number after $1$, $3$, $22$, $66$, $70$, $81$, $94$, $115$, $119$, $170$, $210$, $214$, $217$, $265$, $282$, $310$, $322$, and the $2$nd of the only $2$ cubes, after $1$, whose divisor sum is square:

$\map {\sigma_1} {343} = 400 = 20^2$

The $31$st powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $144$, $169$, $196$, $200$, $216$, $225$, $243$, $256$, $288$, $289$, $324$

Also see

• Previous  ... Next: Sequence of Palindromic Cubes
• Previous  ... Next: Sequence of Powers of 7
• Previous  ... Next: Cube Number
• Previous  ... Next: Friedman Number
• Previous  ... Next: Powerful Number
• Previous  ... Next: Numbers whose Divisor Sum is Square