338428320
338,428,320 is an even composite number composed of five prime numbers multiplied together.
What does the number 338428320 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
338428320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 338428320:
25 × 3 × 5 × 532 × 251
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 53 × 53 × 251)See below for interesting mathematical facts about the number 338428320 from the Numbermatics database.
Names of 338428320
- Cardinal: 338428320 can be written as Three hundred thirty-eight million, four hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.3842832 × 108
Factors of 338428320
Divisors of 338428320
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 251 265 318 424 480 502 530 636 753 795 848 1004 1060 1255 1272 1506 1590 1696 2008 2120 2510 2544 2809 3012 3180 3765 4016 4240 5020 5088 5618 6024 6360 7530 8032 8427 8480 10040 11236 12048 12720 13303 14045 15060 16854 20080 22472 24096 25440 26606 28090 30120 33708 39909 40160 42135 44944 53212 56180 60240 66515 67416 79818 84270 89888 106424 112360 120480 133030 134832 159636 168540 199545 212848 224720 266060 269664 319272 337080 399090 425696 449440 532120 638544 674160 705059 798180 1064240 1277088 1348320 1410118 1596360 2115177 2128480 2820236 3192720 3525295 4230354 5640472 6385440 7050590 8460708 10575885 11280944 14101180 16921416 21151770 22561888 28202360 33842832 42303540 56404720 67685664 84607080 112809440 169214160 338428320
- Sum of all divisors σ(n): 1090871712
- Sum of proper divisors (its aliquot sum) s(n): 752443392
- 338428320 is an abundant number, because the sum of its proper divisors (752443392) is greater than itself. Its abundance is 414015072
Bases of 338428320
- Binary: 101000010110000000001101000002
- Hexadecimal: 0x142C01A0
- Base-36: 5LHOYO
Squares and roots of 338428320
- 338428320 squared (3384283202) is 114533727778022400
- 338428320 cubed (3384283203) is 38761457075253453754368000
-
The
square root of 338428320 is 18396.4213911293 -
The
cube root of 338428320 is 696.8760932101
Scales and comparisons
How big is 338428320?- 338,428,320 seconds is equal to 10 years, 39 weeks, 3 days, 23 hours, 52 minutes.
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To count from 1 to 338,428,320 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 338428320 cubic inches would be around 58.1 feet tall.
Recreational maths with 338428320
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