34228800
34,228,800 is an even composite number composed of four prime numbers multiplied together.
34228800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.
Prime factorization of 34228800:
26 × 32 × 52 × 2377
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 2377)See below for interesting mathematical facts about the number 34228800 from the Numbermatics database.
Names of 34228800
- Cardinal: 34228800 can be written as Thirty-four million, two hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.42288 × 107
Factors of 34228800
Divisors of 34228800
- Number of divisors d(n): 126
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2377 2400 2880 3600 4754 4800 7131 7200 9508 11885 14262 14400 19016 21393 23770 28524 35655 38032 42786 47540 57048 59425 71310 76064 85572 95080 106965 114096 118850 142620 152128 171144 178275 190160 213930 228192 237700 285240 342288 356550 380320 427860 456384 475400 534825 570480 684576 713100 760640 855720 950800 1069650 1140960 1369152 1426200 1711440 1901600 2139300 2281920 2852400 3422880 3803200 4278600 5704800 6845760 8557200 11409600 17114400 34228800
- Sum of all divisors σ(n): 121708418
- Sum of proper divisors (its aliquot sum) s(n): 87479618
- 34228800 is an abundant number, because the sum of its proper divisors (87479618) is greater than itself. Its abundance is 53250818
Bases of 34228800
- Binary: 100000101001001010010000002
- Hexadecimal: 0x20A4A40
- Base-36: KDN40
Squares and roots of 34228800
- 34228800 squared (342288002) is 1171610749440000
- 34228800 cubed (342288003) is 40102830020431872000000
-
The
square root of 34228800 is 5850.5384367595 -
The
cube root of 34228800 is 324.6862455229
Scales and comparisons
How big is 34228800?- 34,228,800 seconds is equal to 1 year, 4 weeks, 4 days, 4 hours.
-
To count from 1 to 34,228,800 would take you about thirty-two weeks!
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 34228800 cubic inches would be around 27.1 feet tall.
Recreational maths with 34228800
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