398130768
398,130,768 is an even composite number composed of five prime numbers multiplied together.
398130768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 398130768:
24 × 33 × 7 × 312 × 137
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 31 × 31 × 137)See below for interesting mathematical facts about the number 398130768 from the Numbermatics database.
Names of 398130768
- Cardinal: 398130768 can be written as Three hundred ninety-eight million, one hundred thirty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.98130768 × 108
Factors of 398130768
Divisors of 398130768
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 137 144 168 186 189 216 217 248 252 274 279 336 372 378 411 432 434 496 504 548 558 651 744 756 822 837 868 959 961 1008 1096 1116 1233 1302 1488 1512 1644 1674 1736 1918 1922 1953 2192 2232 2466 2604 2877 2883 3024 3288 3348 3472 3699 3836 3844 3906 4247 4464 4932 5208 5754 5766 5859 6576 6696 6727 7398 7672 7688 7812 8494 8631 8649 9864 10416 11508 11532 11718 12741 13392 13454 14796 15344 15376 15624 16988 17262 17298 19728 20181 23016 23064 23436 25482 25893 25947 26908 29592 29729 31248 33976 34524 34596 38223 40362 46032 46128 46872 50964 51786 51894 53816 59184 59458 60543 67952 69048 69192 76446 80724 89187 93744 101928 103572 103788 107632 114669 118916 121086 131657 138096 138384 152892 161448 178374 181629 203856 207144 207576 229338 237832 242172 263314 267561 305784 322896 356748 363258 394971 414288 415152 458676 475664 484344 526628 535122 611568 713496 726516 789942 802683 917352 921599 968688 1053256 1070244 1184913 1426992 1453032 1579884 1605366 1834704 1843198 2106512 2140488 2369826 2764797 2906064 3159768 3210732 3554739 3686396 4280976 4739652 5529594 6319536 6421464 7109478 7372792 8294391 9479304 11059188 12842928 14218956 14745584 16588782 18958608 22118376 24883173 28437912 33177564 44236752 49766346 56875824 66355128 99532692 132710256 199065384 398130768
- Sum of all divisors σ(n): 1359377280
- Sum of proper divisors (its aliquot sum) s(n): 961246512
- 398130768 is an abundant number, because the sum of its proper divisors (961246512) is greater than itself. Its abundance is 563115744
Bases of 398130768
- Binary: 101111011101011111110010100002
- Hexadecimal: 0x17BAFE50
- Base-36: 6L1BO0
Squares and roots of 398130768
- 398130768 squared (3981307682) is 158508108428269824
- 398130768 cubed (3981307683) is 63106954942774337940344832
-
The
square root of 398130768 is 19953.2144778731 -
The
cube root of 398130768 is 735.6567890181
Scales and comparisons
How big is 398130768?- 398,130,768 seconds is equal to 12 years, 34 weeks, 1 day, 23 hours, 52 minutes, 48 seconds.
-
To count from 1 to 398,130,768 would take you about eighteen 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 398130768 cubic inches would be around 61.3 feet tall.
Recreational maths with 398130768
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 398130768 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 398130768 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/398130768/
Chicago style:
Numbermatics. 2024. "Number 398130768 - Facts about the integer". https://numbermatics.com/n/398130768/
The information we have on file for 398130768 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 398130768, math, Factors of 398130768, curriculum, school, college, exams, university, Prime factorization of 398130768, STEM, science, technology, engineering, physics, economics, calculator, three hundred ninety-eight million, one hundred thirty thousand, seven hundred sixty-eight.