342134400
342,134,400 is an even composite number composed of five prime numbers multiplied together.
342134400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 342134400:
27 × 3 × 52 × 157 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 157 × 227)See below for interesting mathematical facts about the number 342134400 from the Numbermatics database.
Names of 342134400
- Cardinal: 342134400 can be written as Three hundred forty-two million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 3.421344 × 108
Factors of 342134400
Divisors of 342134400
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 157 160 192 200 227 240 300 314 320 384 400 454 471 480 600 628 640 681 785 800 908 942 960 1135 1200 1256 1362 1570 1600 1816 1884 1920 2270 2355 2400 2512 2724 3140 3200 3405 3632 3768 3925 4540 4710 4800 5024 5448 5675 6280 6810 7264 7536 7850 9080 9420 9600 10048 10896 11350 11775 12560 13620 14528 15072 15700 17025 18160 18840 20096 21792 22700 23550 25120 27240 29056 30144 31400 34050 35639 36320 37680 43584 45400 47100 50240 54480 60288 62800 68100 71278 72640 75360 87168 90800 94200 100480 106917 108960 125600 136200 142556 145280 150720 178195 181600 188400 213834 217920 251200 272400 285112 301440 356390 363200 376800 427668 435840 502400 534585 544800 570224 712780 726400 753600 855336 890975 1069170 1089600 1140448 1425560 1507200 1710672 1781950 2138340 2179200 2280896 2672925 2851120 3421344 3563900 4276680 4561792 5345850 5702240 6842688 7127800 8553360 10691700 11404480 13685376 14255600 17106720 21383400 22808960 28511200 34213440 42766800 57022400 68426880 85533600 114044800 171067200 342134400
- Sum of all divisors σ(n): 1139078880
- Sum of proper divisors (its aliquot sum) s(n): 796944480
- 342134400 is an abundant number, because the sum of its proper divisors (796944480) is greater than itself. Its abundance is 454810080
Bases of 342134400
- Binary: 101000110010010001110100000002
- Hexadecimal: 0x14648E80
- Base-36: 5NP4LC
Squares and roots of 342134400
- 342134400 squared (3421344002) is 117055947663360000
- 342134400 cubed (3421344003) is 40048866420235075584000000
-
The
square root of 342134400 is 18496.8754118095 -
The
cube root of 342134400 is 699.4106604287
Scales and comparisons
How big is 342134400?- 342,134,400 seconds is equal to 10 years, 45 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 342,134,400 would take you about sixteen 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 342134400 cubic inches would be around 58.3 feet tall.
Recreational maths with 342134400
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 342134400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 342134400 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/342134400/
Chicago style:
Numbermatics. 2024. "Number 342134400 - Facts about the integer". https://numbermatics.com/n/342134400/
The information we have on file for 342134400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 342134400, math, Factors of 342134400, curriculum, school, college, exams, university, Prime factorization of 342134400, STEM, science, technology, engineering, physics, economics, calculator, three hundred forty-two million, one hundred thirty-four thousand, four hundred.