Numbers 3,200,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

3,000,000,000 3,100,000,0003,200,000,0003,300,000,0003,400,000,000

3,500,000,0003,600,000,0003,700,000,0003,800,000,000 – 3,900,000,000

[1B] – [2B] – [3B] – [4B] – [5B] – [6B] – [7B] – [8B]  – [9B] & [10B]

1  - 10 - 100  - 1000 - 10,000 - 100,000 - 1M - 10M - 100M1B10B - 100B - 1T - 10T - 100T - 1Q ...

3,205,371,456

[Math.]   Sum of the first 336 cube numbers:

13+…+3363 = 3,205,371,456 = (1+2+…+336)2 = 56,6162.

3,209,876,514

[Math.]   One of 27 special permutations of the pan-digital number 1,234,567,890: 123,456,789×26 = 3,209,876,514.

3,209,876,514

[Math.]   Pan-digital number factorization: 1,604,938,257´6,419,753,028 = 3,209,876,5142.

3,210,987,654

[Math.]   3,210,987,654 and 3,210,987,654×2 = 6,421,975,308 are all pan-digital numbers.

3,212,890,625

[Math.]   Its odd powers end with 3,212,890,625.  Its even powers end with 8,212,890,625.

3,234,846,615

[Math.]   Product of the first 9 odd prime numbers:

3,234,846,615 = 3×5×7×11×13×17×19×23×29.

3,241,809,010

[Math.]   Two consecutive sums of consecutive square numbers:

3,241,809,010 = 72602+…+73202 = 73212+…+73802.

3,243,644,209

[Math.]   Sum of the first 337 cube numbers:

13+…+3373 = 3,243,644,209 = (1+2+…+337)2 = 56,9532.

3,262,811,042

[Math.]   A number that is the sum of 4th powers of 2 prime numbers in 2 ways: 3,262,811,042 = 74+2394 = 1574+2274.

3,282,258,681

[Math.]   Sum of the first 338 cube numbers:

13+…+3383 = 3,282,258,681 = (1+2+…+338)2 = 57,2912.

3,285,697,041

[Math.]   573212 = 3,285,697,041, a square number using each of 10 digits 0-9 once. (The 31st of 87 such numbers). The 4th such number is 351722 = 1,237,069,584. The 36th such number is 609842 = 3,719,048,256. Number 60984 combined digits with either number 35172 or 57321 also use each of 10 digits 0-9 once.

3,296,732,967 & 3,299,999,967

[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

(***)   1099999989×9 = 9899999901 & 1099999989×9899999901 = 32999999672

1099999989…1099999989×9 = 9899999901…9899999901 &

1099999989…1099999989×9899999901...9899999901 = 329999967…32999999672

(****)  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.

...

x,yzw,abc,def

[Math.]  For any x,yzw = 1000 to 9999, there are always six 6-digit numbers abc,edf such that x,yzw +abc,def is equal to one of 6 digit-rotations of 142,857 and the number x,yzw,abc,def is a multiple of 142,857.

For any x,yzw = 1000 to 9999, there are always twelve 6-digit numbers abc,edf such that x,yzw +abc,def is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number x,yzw,abc,def is a multiple of 76,923.