Numbers 320,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

[1M] & [10M] & [100M- [200M] - [300M] - [400M] - [500M] - [600M] - [700M] - [800M] - [900M] & [1B]

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320,987,654

[Math.]  Multiples of 012345679 by 8, 17, 26, 35, 44, 53, 62, 71 and 80 will yield all 9 rotations of the number 098765432: 098765432, 209876543, 320987654, 432098765, 543209876, 654320987, 765432098, 876543209 and 987654320. All numbers are missing digit 1.

321,197,185

[Math.]  The first Carmichael number consisting of 6 prime factors: 321,197,185 = 5×19×23×29×37×137.

321,534,781

[Math.]  A prime number. A Markov number.

322,382,025

[Math.]  Sum of the first 189 cube numbers:

13+23+…+1893 = 322,382,025 = (1+2+…+189)2 = 17,9552.

326,597,184

[Math.]  180722 = 326,597,184, one of thirty 9-digit square numbers using all 9 digits 1-9 once.

327,763,300

[Math.]  A number that can be expressed as the sum of 2 cube numbers in 3 non-trivial ways: 327,763,300 = 3003+6703 = 3393+6613 = 5103+5803. The first numbers are: 87,539,319 = 4363+1673 = 4233+2283 = 4143+2553, (Leech, 1957) and 175,959,000 = 5603+703 = 5253+3153 = 5523+1983, (Gerardin, 1908).

329,241,025

[Math.]  Sum of the first 190 cube numbers:

13+23+…+1903 = 329,241,025 = (1+2+…+190)2 = 18,1452.

329,999,967

[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

(***)   109999989×9 = 989999901 & 109999989×989999901 = 3299999672

109999989…109999989×9 = 989999901…989999901 &

109999989…109999989×989999901...989999901 = 32999967…3299999672

(****)  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.

...

xyz,abc,def

[Math.]  For any xyz = 100 to 999, there are always six 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 6 digit-rotations of 142,857 and the number  xyz,abc,def is a multiple of 142,857.

For any xyz = 100 to 999, there are always twelve 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xyz,abc,def is a multiple of 76,923.