30438400
30,438,400 is an even composite number composed of four prime numbers multiplied together.
30438400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred thirty-two divisors.
Prime factorization of 30438400:
210 × 52 × 29 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 29 × 41)See below for interesting mathematical facts about the number 30438400 from the Numbermatics database.
Names of 30438400
- Cardinal: 30438400 can be written as Thirty million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.04384 × 107
Factors of 30438400
Divisors of 30438400
- Number of divisors d(n): 132
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 41 50 58 64 80 82 100 116 128 145 160 164 200 205 232 256 290 320 328 400 410 464 512 580 640 656 725 800 820 928 1024 1025 1160 1189 1280 1312 1450 1600 1640 1856 2050 2320 2378 2560 2624 2900 3200 3280 3712 4100 4640 4756 5120 5248 5800 5945 6400 6560 7424 8200 9280 9512 10496 11600 11890 12800 13120 14848 16400 18560 19024 20992 23200 23780 25600 26240 29696 29725 32800 37120 38048 41984 46400 47560 52480 59450 65600 74240 76096 92800 95120 104960 118900 131200 148480 152192 185600 190240 209920 237800 262400 304384 371200 380480 475600 524800 608768 742400 760960 951200 1049600 1217536 1521920 1902400 3043840 3804800 6087680 7609600 15219200 30438400
- Sum of all divisors σ(n): 79955820
- Sum of proper divisors (its aliquot sum) s(n): 49517420
- 30438400 is an abundant number, because the sum of its proper divisors (49517420) is greater than itself. Its abundance is 19079020
Bases of 30438400
- Binary: 11101000001110100000000002
- Hexadecimal: 0x1D07400
- Base-36: I4EF4
Squares and roots of 30438400
- 30438400 squared (304384002) is 926496194560000
- 30438400 cubed (304384003) is 28201061768495104000000
-
The
square root of 30438400 is 5517.1006878617 -
The
cube root of 30438400 is 312.2295045973
Scales and comparisons
How big is 30438400?- 30,438,400 seconds is equal to 50 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 30,438,400 would take you about twenty-three weeks!
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 30438400 cubic inches would be around 26 feet tall.
Recreational maths with 30438400
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 30438400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 30438400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/30438400/
Chicago style:
Numbermatics. 2024. "Number 30438400 - Facts about the integer". https://numbermatics.com/n/30438400/
The information we have on file for 30438400 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 30438400, math, Factors of 30438400, curriculum, school, college, exams, university, Prime factorization of 30438400, STEM, science, technology, engineering, physics, economics, calculator, thirty million, four hundred thirty-eight thousand, four hundred.