398438400
398,438,400 is an even composite number composed of four prime numbers multiplied together.
398438400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred fifty-six divisors.
Prime factorization of 398438400:
212 × 3 × 52 × 1297
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 1297)See below for interesting mathematical facts about the number 398438400 from the Numbermatics database.
Names of 398438400
- Cardinal: 398438400 can be written as Three hundred ninety-eight million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.984384 × 108
Factors of 398438400
Divisors of 398438400
- Number of divisors d(n): 156
-
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 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1297 1536 1600 1920 2048 2400 2560 2594 3072 3200 3840 3891 4096 4800 5120 5188 6144 6400 6485 7680 7782 9600 10240 10376 12288 12800 12970 15360 15564 19200 19455 20480 20752 25600 25940 30720 31128 32425 38400 38910 41504 51200 51880 61440 62256 64850 76800 77820 83008 97275 102400 103760 124512 129700 153600 155640 166016 194550 207520 249024 259400 307200 311280 332032 389100 415040 498048 518800 622560 664064 778200 830080 996096 1037600 1245120 1328128 1556400 1660160 1992192 2075200 2490240 2656256 3112800 3320320 3984384 4150400 4980480 5312512 6225600 6640640 7968768 8300800 9960960 12451200 13281280 15937536 16601600 19921920 24902400 26562560 33203200 39843840 49804800 66406400 79687680 99609600 132812800 199219200 398438400
- Sum of all divisors σ(n): 1318357832
- Sum of proper divisors (its aliquot sum) s(n): 919919432
- 398438400 is an abundant number, because the sum of its proper divisors (919919432) is greater than itself. Its abundance is 521481032
Bases of 398438400
- Binary: 101111011111110110000000000002
- Hexadecimal: 0x17BFB000
- Base-36: 6L7X1C
Squares and roots of 398438400
- 398438400 squared (3984384002) is 158753158594560000
- 398438400 cubed (3984384003) is 63253354505362735104000000
-
The
square root of 398438400 is 19960.9218224007 -
The
cube root of 398438400 is 735.8462186585
Scales and comparisons
How big is 398438400?- 398,438,400 seconds is equal to 12 years, 34 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 398,438,400 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 398438400 cubic inches would be around 61.3 feet tall.
Recreational maths with 398438400
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 398438400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 398438400 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/398438400/
Chicago style:
Numbermatics. 2024. "Number 398438400 - Facts about the integer". https://numbermatics.com/n/398438400/
The information we have on file for 398438400 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 398438400, math, Factors of 398438400, curriculum, school, college, exams, university, Prime factorization of 398438400, STEM, science, technology, engineering, physics, economics, calculator, three hundred ninety-eight million, four hundred thirty-eight thousand, four hundred.