328230420
328,230,420 is an even composite number composed of six prime numbers multiplied together.
What does the number 328230420 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
328230420 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 328230420:
22 × 3 × 5 × 73 × 41 × 389
(2 × 2 × 3 × 5 × 7 × 7 × 7 × 41 × 389)See below for interesting mathematical facts about the number 328230420 from the Numbermatics database.
Names of 328230420
- Cardinal: 328230420 can be written as Three hundred twenty-eight million, two hundred thirty thousand, four hundred twenty.
Scientific notation
- Scientific notation: 3.2823042 × 108
Factors of 328230420
Divisors of 328230420
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 49 60 70 82 84 98 105 123 140 147 164 196 205 210 245 246 287 294 343 389 410 420 490 492 574 588 615 686 735 778 820 861 980 1029 1148 1167 1230 1372 1435 1470 1556 1715 1722 1945 2009 2058 2334 2460 2723 2870 2940 3430 3444 3890 4018 4116 4305 4668 5145 5446 5740 5835 6027 6860 7780 8036 8169 8610 10045 10290 10892 11670 12054 13615 14063 15949 16338 17220 19061 20090 20580 23340 24108 27230 28126 30135 31898 32676 38122 40180 40845 42189 47847 54460 56252 57183 60270 63796 70315 76244 79745 81690 84378 95305 95694 111643 114366 120540 133427 140630 159490 163380 168756 190610 191388 210945 223286 228732 239235 266854 281260 285915 318980 334929 381220 400281 421890 446572 478470 533708 558215 571830 667135 669858 781501 800562 843780 956940 1116430 1143660 1334270 1339716 1563002 1601124 1674645 2001405 2232860 2344503 2668540 3126004 3349290 3907505 4002810 4689006 5470507 6698580 7815010 8005620 9378012 10941014 11722515 15630020 16411521 21882028 23445030 27352535 32823042 46890060 54705070 65646084 82057605 109410140 164115210 328230420
- Sum of all divisors σ(n): 1100736000
- Sum of proper divisors (its aliquot sum) s(n): 772505580
- 328230420 is an abundant number, because the sum of its proper divisors (772505580) is greater than itself. Its abundance is 444275160
Bases of 328230420
- Binary: 100111001000001100110000101002
- Hexadecimal: 0x13906614
- Base-36: 5FF47O
Squares and roots of 328230420
- 328230420 squared (3282304202) is 107735208613376400
- 328230420 cubed (3282304203) is 35361972771956153390088000
-
The
square root of 328230420 is 18117.1305675043 -
The
cube root of 328230420 is 689.8049017829
Scales and comparisons
How big is 328230420?- 328,230,420 seconds is equal to 10 years, 22 weeks, 4 days, 23 hours, 7 minutes.
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To count from 1 to 328,230,420 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 328230420 cubic inches would be around 57.5 feet tall.
Recreational maths with 328230420
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