230464416
230,464,416 is an even composite number composed of seven prime numbers multiplied together.
230464416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 230464416:
25 × 3 × 7 × 13 × 23 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 23 × 31 × 37)See below for interesting mathematical facts about the number 230464416 from the Numbermatics database.
Names of 230464416
- Cardinal: 230464416 can be written as Two hundred thirty million, four hundred sixty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 2.30464416 × 108
Factors of 230464416
Divisors of 230464416
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 31 32 37 39 42 46 48 52 56 62 69 74 78 84 91 92 93 96 104 111 112 124 138 148 156 161 168 182 184 186 208 217 222 224 248 259 273 276 296 299 312 322 336 364 368 372 403 416 434 444 481 483 496 518 546 552 592 598 624 644 651 672 713 728 736 744 777 806 851 868 888 897 962 966 992 1036 1092 1104 1147 1184 1196 1209 1248 1288 1302 1426 1443 1456 1488 1554 1612 1702 1736 1776 1794 1924 1932 2072 2093 2139 2184 2208 2294 2392 2418 2553 2576 2604 2821 2852 2886 2912 2976 3108 3224 3367 3404 3441 3472 3552 3588 3848 3864 4144 4186 4278 4368 4588 4784 4836 4991 5106 5152 5208 5642 5704 5772 5957 6216 6279 6448 6734 6808 6882 6944 7176 7696 7728 8029 8288 8372 8463 8556 8736 9176 9269 9568 9672 9982 10101 10212 10416 11063 11284 11408 11544 11914 12432 12558 12896 13468 13616 13764 14352 14911 14973 15392 15456 16058 16744 16926 17112 17871 18352 18538 19344 19964 20202 20424 20832 22126 22568 22816 23088 23828 24087 24864 25116 26381 26936 27232 27528 27807 28704 29822 29946 32116 33189 33488 33852 34224 35742 36704 37076 38688 39928 40404 40848 44252 44733 45136 46176 47656 48174 50232 52762 53872 55056 55614 59644 59892 64232 64883 66378 66976 67704 68448 71484 74152 77441 79143 79856 80808 81696 88504 89466 90272 95312 96348 100464 104377 105524 107744 110112 111228 119288 119784 128464 129766 132756 135408 142968 148304 154882 158286 159712 161616 177008 178932 184667 190624 192696 194649 200928 208754 211048 222456 232323 238576 239568 256928 259532 265512 270816 285936 296608 309764 313131 316572 323232 342953 354016 357864 369334 385392 389298 417508 422096 444912 464646 477152 479136 519064 531024 554001 571872 619528 626262 633144 685906 715728 738668 770784 778596 835016 844192 889824 929292 1028859 1038128 1062048 1108002 1239056 1252524 1266288 1371812 1431456 1477336 1557192 1670032 1858584 2057718 2076256 2216004 2400671 2478112 2505048 2532576 2743624 2954672 3114384 3340064 3717168 4115436 4432008 4801342 5010096 5487248 5909344 6228768 7202013 7434336 8230872 8864016 9602684 10020192 10974496 14404026 16461744 17728032 19205368 28808052 32923488 38410736 57616104 76821472 115232208 230464416
- Sum of all divisors σ(n): 823689216
- Sum of proper divisors (its aliquot sum) s(n): 593224800
- 230464416 is an abundant number, because the sum of its proper divisors (593224800) is greater than itself. Its abundance is 362760384
Bases of 230464416
- Binary: 11011011110010011011101000002
- Hexadecimal: 0xDBC9BA0
- Base-36: 3T7NHC
Squares and roots of 230464416
- 230464416 squared (2304644162) is 53113847042221056
- 230464416 cubed (2304644163) is 12240851740098803013943296
-
The
square root of 230464416 is 15181.0545088275 -
The
cube root of 230464416 is 613.1046732167
Scales and comparisons
How big is 230464416?- 230,464,416 seconds is equal to 7 years, 17 weeks, 9 hours, 53 minutes, 36 seconds.
-
To count from 1 to 230,464,416 would take you about ten 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 230464416 cubic inches would be around 51.1 feet tall.
Recreational maths with 230464416
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 230464416 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 230464416 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/230464416/
Chicago style:
Numbermatics. 2024. "Number 230464416 - Facts about the integer". https://numbermatics.com/n/230464416/
The information we have on file for 230464416 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 230464416, math, Factors of 230464416, curriculum, school, college, exams, university, Prime factorization of 230464416, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty million, four hundred sixty-four thousand, four hundred sixteen.