Numbers 320,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

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321,168

[Math.]  116,788,321,168 = 116,7882+321,1682 and 883,212,321,168 = 883,2122+321,1682, where 883,212+116,788 = 1,000,000.

 

321,402

[Math.]  Two consecutive sums of consecutive numbers:

4624+…+4692 = 4693+…+4760 = 321,402.

 

321,489

[Math.]  The number 567 and its square 5672 = 321,489 use each of 9 digits 1-9 once.

 

322,580

[Math.]  1/155 = 0.00645,161,290,322,580 =

0.00645161290,3225,80645,161290,322580 where 80,645×2 = 161,290 and 161,290×2 = 322,580.

 

323,323

[Math.]  323,323 = 7×11×13×17×19, product of 5 consecutive prime numbers.

 

326,981

[Math.]  An alternating sum/subtraction of factorials:

326,981 = 9!–8!+7!–6!+5!–4!+3!–2!+1!.

 

327,685

[Math.]  A regular polygon with this odd number (product of Fermat prime numbers) of sides is constructible by using only straightedge and compass. 327,685 = 5×65,537.

 

328,329

[Math.]  A square number 5732 = 328,329, formed by concatenation of 2 consecutive numbers.

 

328,509

[Math.]  The square and cube of 69 use all 10 digits 0-9 once: 692 = 4,761 and 693 = 328,509.

 

329,967

[Math.]  108,878,221,089 = (108878+221089)2 = 3299672 and

448,944,221,089 = (448944+221089)2 = 670,0332 and 329967+670033 = 1,000,000.

 

329,967

[Math.]

(*)   332×9 =  1089×9 = 9,801 = 992 & 1089×9801 = 10,673,289 = 32672

1089…1089×9 = 9801…9801  & 1089…1089×9801…9801  = 3267…32672

 

(**)  10989×9 = 98901 & 10989×98901 = 1,086,823,089 = 329672

10989…10989×9 = 98901…98901 & 10989…10989×98901...98901 = 32967…329672

 

 (***)   109989×9 = 989901 & 109989×989901 = 108,878,221,089 = 3299672

109989…109989×9 = 989901…989901 &

109989…109989×989901...989901 = 329967…3299672

 

(****)  109…989×9 = 989…901 & 109...989×989…901 = 329…9672

 109…989...109…989×9 = 989…901...989…901  &

  109…989…109…989×989…901...989…901 = 329…967…329…9672.