324

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Number

$324$ (three hundred and twenty-four) is:

$2^2 \times 3^4$

The $7$th square number after $1$, $4$, $36$, $121$, $144$, $256$ to be the divisor sum value of some (strictly) positive integer:

$324 = \map {\sigma_1} {170} = \map {\sigma_1} {214} = \map {\sigma_1} {265}$

The $9$th positive integer after $200$, $202$, $204$, $205$, $206$, $208$, $320$, $322$ that cannot be made into a prime number by changing just $1$ digit

The $13$th integer $m$ such that $m! - 1$ (its factorial minus $1$) is prime:

$3$, $4$, $6$, $7$, $12$, $14$, $30$, $32$, $33$, $38$, $94$, $166$, $324$

The $13$th positive integer after $64$, $96$, $128$, $144$, $160$, $192$, $216$, $224$, $240$, $256$, $288$, $320$ with $6$ or more prime factors:

$324 = 2 \times 2 \times 3 \times 3 \times 3 \times 3$

The $16$th positive integer which cannot be expressed as the sum of a square and a prime:

$1$, $10$, $25$, $34$, $58$, $64$, $85$, $91$, $121$, $130$, $169$, $196$, $214$, $226$, $289$, $324$, $\ldots$

The $18$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $49$, $64$, $81$, $100$, $121$, $144$, $169$, $196$, $225$, $256$, $289$:

$324 = 18 \times 18$

The $26$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $\ldots$, $262$, $268$, $276$, $288$, $290$, $292$, $304$, $306$, $322$

The $30$th powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $144$, $169$, $196$, $200$, $216$, $225$, $243$, $256$, $288$, $289$

Also see

• Previous  ... Next: Sequence of Integers whose Factorial minus 1 is Prime
• Previous  ... Next: Square Numbers which are Divisor Sum values
• Previous  ... Next: Powerful Number
• Previous  ... Next: Square Number
• Previous  ... Next: Numbers not Sum of Square and Prime
• Previous  ... Next: Numbers with 6 or more Prime Factors
• Previous  ... Next: Numbers that cannot be made Prime by changing 1 Digit
• Previous  ... Next: Untouchable Number