398233920
398,233,920 is an even composite number composed of six prime numbers multiplied together.
398233920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 398233920:
26 × 3 × 5 × 7 × 19 × 3119
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 3119)See below for interesting mathematical facts about the number 398233920 from the Numbermatics database.
Names of 398233920
- Cardinal: 398233920 can be written as Three hundred ninety-eight million, two hundred thirty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.9823392 × 108
Factors of 398233920
Divisors of 398233920
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 42 48 56 57 60 64 70 76 80 84 95 96 105 112 114 120 133 140 152 160 168 190 192 210 224 228 240 266 280 285 304 320 336 380 399 420 448 456 480 532 560 570 608 665 672 760 798 840 912 960 1064 1120 1140 1216 1330 1344 1520 1596 1680 1824 1995 2128 2240 2280 2660 3040 3119 3192 3360 3648 3990 4256 4560 5320 6080 6238 6384 6720 7980 8512 9120 9357 10640 12476 12768 15595 15960 18240 18714 21280 21833 24952 25536 31190 31920 37428 42560 43666 46785 49904 59261 62380 63840 65499 74856 87332 93570 99808 109165 118522 124760 127680 130998 149712 174664 177783 187140 199616 218330 237044 249520 261996 296305 299424 327495 349328 355566 374280 414827 436660 474088 499040 523992 592610 598848 654990 698656 711132 748560 829654 873320 888915 948176 998080 1047984 1185220 1244481 1309980 1397312 1422264 1497120 1659308 1746640 1777830 1896352 2074135 2095968 2370440 2488962 2619960 2844528 2994240 3318616 3493280 3555660 3792704 4148270 4191936 4740880 4977924 5239920 5689056 6222405 6637232 6986560 7111320 8296540 9481760 9955848 10479840 11378112 12444810 13274464 14222640 16593080 18963520 19911696 20959680 24889620 26548928 28445280 33186160 39823392 49779240 56890560 66372320 79646784 99558480 132744640 199116960 398233920
- Sum of all divisors σ(n): 1521561600
- Sum of proper divisors (its aliquot sum) s(n): 1123327680
- 398233920 is an abundant number, because the sum of its proper divisors (1123327680) is greater than itself. Its abundance is 725093760
Bases of 398233920
- Binary: 101111011110010010001010000002
- Hexadecimal: 0x17BC9140
- Base-36: 6L3J9C
Squares and roots of 398233920
- 398233920 squared (3982339202) is 158590255038566400
- 398233920 cubed (3982339203) is 63156018937808048652288000
-
The
square root of 398233920 is 19955.7991571373 -
The
cube root of 398233920 is 735.7203174887
Scales and comparisons
How big is 398233920?- 398,233,920 seconds is equal to 12 years, 34 weeks, 3 days, 4 hours, 32 minutes.
-
To count from 1 to 398,233,920 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 398233920 cubic inches would be around 61.3 feet tall.
Recreational maths with 398233920
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 398233920 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
APA style:
Numbermatics. (2024). Number 398233920 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/398233920/
Chicago style:
Numbermatics. 2024. "Number 398233920 - Facts about the integer". https://numbermatics.com/n/398233920/
The information we have on file for 398233920 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 398233920, math, Factors of 398233920, curriculum, school, college, exams, university, Prime factorization of 398233920, STEM, science, technology, engineering, physics, economics, calculator, three hundred ninety-eight million, two hundred thirty-three thousand, nine hundred twenty.