230348448
230,348,448 is an even composite number composed of four prime numbers multiplied together.
230348448 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 230348448:
25 × 35 × 11 × 2693
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 2693)See below for interesting mathematical facts about the number 230348448 from the Numbermatics database.
Names of 230348448
- Cardinal: 230348448 can be written as Two hundred thirty million, three hundred forty-eight thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 2.30348448 × 108
Factors of 230348448
Divisors of 230348448
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 2693 3168 3564 3888 4752 5346 5386 7128 7776 8079 9504 10692 10772 14256 16158 21384 21544 24237 28512 29623 32316 42768 43088 48474 59246 64632 72711 85536 86176 88869 96948 118492 129264 145422 177738 193896 218133 236984 258528 266607 290844 355476 387792 436266 473968 533214 581688 654399 710952 775584 799821 872532 947936 1066428 1163376 1308798 1421904 1599642 1745064 2132856 2326752 2399463 2617596 2843808 3199284 3490128 4265712 4798926 5235192 6398568 6980256 7198389 8531424 9597852 10470384 12797136 14396778 19195704 20940768 25594272 28793556 38391408 57587112 76782816 115174224 230348448
- Sum of all divisors σ(n): 741345696
- Sum of proper divisors (its aliquot sum) s(n): 510997248
- 230348448 is an abundant number, because the sum of its proper divisors (510997248) is greater than itself. Its abundance is 280648800
Bases of 230348448
- Binary: 11011011101011010110101000002
- Hexadecimal: 0xDBAD6A0
- Base-36: 3T5600
Squares and roots of 230348448
- 230348448 squared (2303484482) is 53060407496008704
- 230348448 cubed (2303484483) is 12222382516953171160891392
-
The
square root of 230348448 is 15177.2345307041 -
The
cube root of 230348448 is 613.0018193747
Scales and comparisons
How big is 230348448?- 230,348,448 seconds is equal to 7 years, 16 weeks, 6 days, 1 hour, 40 minutes, 48 seconds.
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To count from 1 to 230,348,448 would take you about ten years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 230348448 cubic inches would be around 51.1 feet tall.
Recreational maths with 230348448
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