320
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Number
$320$ (three hundred and twenty) is:
- $2^6 \times 5$
- The $5$th positive integer after $128$, $192$, $256$, $288$ with $7$ or more prime factors:
- $320 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5$
- The $7$th positive integer after $200$, $202$, $204$, $205$, $206$, $208$ that cannot be made into a prime number by changing just $1$ digit
- The $12$th positive integer after $64$, $96$, $128$, $144$, $160$, $192$, $216$, $224$, $240$, $256$, $288$ with $6$ or more prime factors:
- $320 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \paren {\times \, 5}$
- The $13$th integer $m$ such that $m! + 1$ (its factorial plus $1$) is prime:
- $0$, $1$, $2$, $3$, $11$, $27$, $37$, $41$, $73$, $77$, $116$, $154$, $320$
- The $50$th happy number after $1$, $7$, $10$, $13$, $19$, $23$, $\ldots$, $226$, $230$, $236$, $239$, $262$, $263$, $280$, $291$, $293$, $301$, $302$, $310$, $313$, $319$:
- $320 \to 3^2 + 2^2 + 0^2 = 9 + 4 + 0 = 13 \to 1^2 + 3^2 = 1 + 9 = 10 \to 1^2 + 0^2 = 1$