398420960
398,420,960 is an even composite number composed of five prime numbers multiplied together.
398420960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 398420960:
25 × 5 × 72 × 89 × 571
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 89 × 571)See below for interesting mathematical facts about the number 398420960 from the Numbermatics database.
Names of 398420960
- Cardinal: 398420960 can be written as Three hundred ninety-eight million, four hundred twenty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.9842096 × 108
Factors of 398420960
Divisors of 398420960
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 89 98 112 140 160 178 196 224 245 280 356 392 445 490 560 571 623 712 784 890 980 1120 1142 1246 1424 1568 1780 1960 2284 2492 2848 2855 3115 3560 3920 3997 4361 4568 4984 5710 6230 7120 7840 7994 8722 9136 9968 11420 12460 14240 15988 17444 18272 19936 19985 21805 22840 24920 27979 31976 34888 39970 43610 45680 49840 50819 55958 63952 69776 79940 87220 91360 99680 101638 111916 127904 139552 139895 159880 174440 203276 223832 254095 279790 319760 348880 355733 406552 447664 508190 559580 639520 697760 711466 813104 895328 1016380 1119160 1422932 1626208 1778665 2032760 2238320 2490131 2845864 3557330 4065520 4476640 4980262 5691728 7114660 8131040 9960524 11383456 12450655 14229320 19921048 24901310 28458640 39842096 49802620 56917280 79684192 99605240 199210480 398420960
- Sum of all divisors σ(n): 1109188080
- Sum of proper divisors (its aliquot sum) s(n): 710767120
- 398420960 is an abundant number, because the sum of its proper divisors (710767120) is greater than itself. Its abundance is 312346160
Bases of 398420960
- Binary: 101111011111101101011111000002
- Hexadecimal: 0x17BF6BE0
- Base-36: 6L7JKW
Squares and roots of 398420960
- 398420960 squared (3984209602) is 158739261367321600
- 398420960 cubed (3984209603) is 63245048903659184500736000
-
The
square root of 398420960 is 19960.4849640483 -
The
cube root of 398420960 is 735.8354822893
Scales and comparisons
How big is 398420960?- 398,420,960 seconds is equal to 12 years, 34 weeks, 5 days, 8 hours, 29 minutes, 20 seconds.
-
To count from 1 to 398,420,960 would take you about nineteen 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 398420960 cubic inches would be around 61.3 feet tall.
Recreational maths with 398420960
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 398420960 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
APA style:
Numbermatics. (2024). Number 398420960 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/398420960/
Chicago style:
Numbermatics. 2024. "Number 398420960 - Facts about the integer". https://numbermatics.com/n/398420960/
The information we have on file for 398420960 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 398420960, math, Factors of 398420960, curriculum, school, college, exams, university, Prime factorization of 398420960, STEM, science, technology, engineering, physics, economics, calculator, three hundred ninety-eight million, four hundred twenty thousand, nine hundred sixty.