342381312
342,381,312 is an even composite number composed of six prime numbers multiplied together.
342381312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 342381312:
28 × 32 × 7 × 13 × 23 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 23 × 71)See below for interesting mathematical facts about the number 342381312 from the Numbermatics database.
Names of 342381312
- Cardinal: 342381312 can be written as Three hundred forty-two million, three hundred eighty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 3.42381312 × 108
Factors of 342381312
Divisors of 342381312
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 28 32 36 39 42 46 48 52 56 63 64 69 71 72 78 84 91 92 96 104 112 117 126 128 138 142 144 156 161 168 182 184 192 207 208 213 224 234 252 256 273 276 284 288 299 312 322 336 364 368 384 414 416 426 448 468 483 497 504 546 552 568 576 598 624 639 644 672 728 736 768 819 828 832 852 896 897 923 936 966 994 1008 1092 1104 1136 1152 1196 1248 1278 1288 1344 1449 1456 1472 1491 1633 1638 1656 1664 1704 1792 1794 1846 1872 1932 1988 2016 2093 2184 2208 2272 2304 2392 2496 2556 2576 2688 2691 2769 2898 2912 2944 2982 3266 3276 3312 3328 3408 3588 3692 3744 3864 3976 4032 4186 4368 4416 4473 4544 4784 4899 4992 5112 5152 5376 5382 5538 5796 5824 5888 5964 6279 6461 6532 6552 6624 6816 7176 7384 7488 7728 7952 8064 8307 8372 8736 8832 8946 9088 9568 9798 9984 10224 10304 10764 11076 11431 11592 11648 11928 12558 12922 13064 13104 13248 13632 14352 14697 14768 14976 15456 15904 16128 16614 16744 17472 17664 17892 18176 18837 19136 19383 19596 20448 20608 21229 21528 22152 22862 23184 23296 23856 25116 25844 26128 26208 26496 27264 28704 29394 29536 29952 30912 31808 33228 33488 34293 34944 35784 37674 38272 38766 39192 40896 41216 42458 43056 44304 45724 46368 47712 50232 51688 52256 52416 52992 54528 57408 58149 58788 59072 61824 63616 63687 66456 66976 68586 69888 71568 75348 76544 77532 78384 81792 84916 86112 88608 91448 92736 95424 100464 102879 103376 104512 104832 114816 116298 117576 118144 123648 127232 127374 132912 133952 137172 143136 148603 150696 155064 156768 163584 169832 172224 177216 182896 185472 190848 191061 200928 205758 206752 209024 209664 229632 232596 235152 236288 254748 265824 267904 274344 286272 297206 301392 310128 313536 339664 344448 354432 365792 370944 381696 382122 401856 411516 413504 418048 445809 465192 470304 509496 531648 535808 548688 572544 594412 602784 620256 627072 679328 688896 708864 731584 764244 803712 823032 827008 891618 930384 940608 1018992 1063296 1097376 1145088 1188824 1205568 1240512 1254144 1337427 1358656 1463168 1528488 1607424 1646064 1654016 1783236 1860768 1881216 2037984 2126592 2194752 2377648 2411136 2481024 2674854 2717312 2926336 3056976 3292128 3566472 3721536 3762432 4075968 4389504 4755296 4822272 4962048 5349708 5434624 6113952 6584256 7132944 7443072 8151936 8779008 9510592 10699416 12227904 13168512 14265888 14886144 16303872 19021184 21398832 24455808 26337024 28531776 38042368 42797664 48911616 57063552 85595328 114127104 171190656 342381312
- Sum of all divisors σ(n): 1285659648
- Sum of proper divisors (its aliquot sum) s(n): 943278336
- 342381312 is an abundant number, because the sum of its proper divisors (943278336) is greater than itself. Its abundance is 600897024
Bases of 342381312
- Binary: 101000110100001010011000000002
- Hexadecimal: 0x14685300
- Base-36: 5NUF40
Squares and roots of 342381312
- 342381312 squared (3423813122) is 117224962806841344
- 342381312 cubed (3423813123) is 40135636564957541934563328
-
The
square root of 342381312 is 18503.5486326271 -
The
cube root of 342381312 is 699.5788705031
Scales and comparisons
How big is 342381312?- 342,381,312 seconds is equal to 10 years, 46 weeks, 17 hours, 55 minutes, 12 seconds.
-
To count from 1 to 342,381,312 would take you about sixteen 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 342381312 cubic inches would be around 58.3 feet tall.
Recreational maths with 342381312
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 342381312 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 342381312 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/342381312/
Chicago style:
Numbermatics. 2024. "Number 342381312 - Facts about the integer". https://numbermatics.com/n/342381312/
The information we have on file for 342381312 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 342381312, math, Factors of 342381312, curriculum, school, college, exams, university, Prime factorization of 342381312, STEM, science, technology, engineering, physics, economics, calculator, three hundred forty-two million, three hundred eighty-one thousand, three hundred twelve.