328550400
328,550,400 is an even composite number composed of five prime numbers multiplied together.
328550400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 328550400:
211 × 32 × 52 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 31)See below for interesting mathematical facts about the number 328550400 from the Numbermatics database.
Names of 328550400
- Cardinal: 328550400 can be written as Three hundred twenty-eight million, five hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 3.285504 × 108
Factors of 328550400
Divisors of 328550400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 31 32 36 40 45 46 48 50 60 62 64 69 72 75 80 90 92 93 96 100 115 120 124 128 138 144 150 155 160 180 184 186 192 200 207 225 230 240 248 256 276 279 288 300 310 320 345 360 368 372 384 400 414 450 460 465 480 496 512 552 558 575 576 600 620 640 690 713 720 736 744 768 775 800 828 900 920 930 960 992 1024 1035 1104 1116 1150 1152 1200 1240 1280 1380 1395 1426 1440 1472 1488 1536 1550 1600 1656 1725 1800 1840 1860 1920 1984 2048 2070 2139 2208 2232 2300 2304 2325 2400 2480 2560 2760 2790 2852 2880 2944 2976 3072 3100 3200 3312 3450 3565 3600 3680 3720 3840 3968 4140 4278 4416 4464 4600 4608 4650 4800 4960 5120 5175 5520 5580 5704 5760 5888 5952 6144 6200 6400 6417 6624 6900 6975 7130 7200 7360 7440 7680 7936 8280 8556 8832 8928 9200 9216 9300 9600 9920 10240 10350 10695 11040 11160 11408 11520 11776 11904 12400 12800 12834 13248 13800 13950 14260 14400 14720 14880 15360 15872 16560 17112 17664 17825 17856 18400 18432 18600 19200 19840 20700 21390 22080 22320 22816 23040 23552 23808 24800 25600 25668 26496 27600 27900 28520 28800 29440 29760 30720 31744 32085 33120 34224 35328 35650 35712 36800 37200 38400 39680 41400 42780 44160 44640 45632 46080 47104 47616 49600 51200 51336 52992 53475 55200 55800 57040 57600 58880 59520 63488 64170 66240 68448 70656 71300 71424 73600 74400 76800 79360 82800 85560 88320 89280 91264 92160 95232 99200 102672 105984 106950 110400 111600 114080 115200 117760 119040 128340 132480 136896 141312 142600 142848 147200 148800 153600 158720 160425 165600 171120 176640 178560 182528 190464 198400 205344 211968 213900 220800 223200 228160 230400 235520 238080 256680 264960 273792 285200 285696 294400 297600 317440 320850 331200 342240 353280 357120 365056 396800 410688 423936 427800 441600 446400 456320 460800 476160 513360 529920 547584 570400 571392 588800 595200 641700 662400 684480 706560 714240 730112 793600 821376 855600 883200 892800 912640 952320 1026720 1059840 1095168 1140800 1177600 1190400 1283400 1324800 1368960 1428480 1460224 1587200 1642752 1711200 1766400 1785600 1825280 2053440 2119680 2190336 2281600 2380800 2566800 2649600 2737920 2856960 3285504 3422400 3532800 3571200 3650560 4106880 4380672 4563200 4761600 5133600 5299200 5475840 6571008 6844800 7142400 7301120 8213760 9126400 10267200 10598400 10951680 13142016 13689600 14284800 16427520 18252800 20534400 21903360 27379200 32855040 36505600 41068800 54758400 65710080 82137600 109516800 164275200 328550400
- Sum of all divisors σ(n): 1267418880
- Sum of proper divisors (its aliquot sum) s(n): 938868480
- 328550400 is an abundant number, because the sum of its proper divisors (938868480) is greater than itself. Its abundance is 610318080
Bases of 328550400
- Binary: 100111001010101001000000000002
- Hexadecimal: 0x13954800
- Base-36: 5FLZ40
Squares and roots of 328550400
- 328550400 squared (3285504002) is 107945365340160000
- 328550400 cubed (3285504003) is 35465492960655704064000000
-
The
square root of 328550400 is 18125.9592849593 -
The
cube root of 328550400 is 690.0289842897
Scales and comparisons
How big is 328550400?- 328,550,400 seconds is equal to 10 years, 23 weeks, 1 day, 16 hours.
-
To count from 1 to 328,550,400 would take you about fifteen 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 328550400 cubic inches would be around 57.5 feet tall.
Recreational maths with 328550400
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 328550400 - Facts about the integer". Numbermatics.com. 2024. Web. 19 April 2024.
APA style:
Numbermatics. (2024). Number 328550400 - Facts about the integer. Retrieved 19 April 2024, from https://numbermatics.com/n/328550400/
Chicago style:
Numbermatics. 2024. "Number 328550400 - Facts about the integer". https://numbermatics.com/n/328550400/
The information we have on file for 328550400 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 328550400, math, Factors of 328550400, curriculum, school, college, exams, university, Prime factorization of 328550400, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-eight million, five hundred fifty thousand, four hundred.