34144000
34,144,000 is an even composite number composed of four prime numbers multiplied together.
34144000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 34144000:
28 × 53 × 11 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 97)See below for interesting mathematical facts about the number 34144000 from the Numbermatics database.
Names of 34144000
- Cardinal: 34144000 can be written as Thirty-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 3.4144 × 107
Factors of 34144000
Divisors of 34144000
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 97 100 110 125 128 160 176 194 200 220 250 256 275 320 352 388 400 440 485 500 550 640 704 776 800 880 970 1000 1067 1100 1280 1375 1408 1552 1600 1760 1940 2000 2134 2200 2425 2750 2816 3104 3200 3520 3880 4000 4268 4400 4850 5335 5500 6208 6400 7040 7760 8000 8536 8800 9700 10670 11000 12125 12416 14080 15520 16000 17072 17600 19400 21340 22000 24250 24832 26675 31040 32000 34144 35200 38800 42680 44000 48500 53350 62080 68288 70400 77600 85360 88000 97000 106700 124160 133375 136576 155200 170720 176000 194000 213400 266750 273152 310400 341440 352000 388000 426800 533500 620800 682880 776000 853600 1067000 1365760 1552000 1707200 2134000 3104000 3414400 4268000 6828800 8536000 17072000 34144000
- Sum of all divisors σ(n): 93746016
- Sum of proper divisors (its aliquot sum) s(n): 59602016
- 34144000 is an abundant number, because the sum of its proper divisors (59602016) is greater than itself. Its abundance is 25458016
Bases of 34144000
- Binary: 100000100011111111000000002
- Hexadecimal: 0x208FF00
- Base-36: KBTOG
Squares and roots of 34144000
- 34144000 squared (341440002) is 1165812736000000
- 34144000 cubed (341440003) is 39805510057984000000000
-
The
square root of 34144000 is 5843.2867463441 -
The
cube root of 34144000 is 324.4178929225
Scales and comparisons
How big is 34144000?- 34,144,000 seconds is equal to 1 year, 4 weeks, 3 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 34,144,000 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 34144000 cubic inches would be around 27 feet tall.
Recreational maths with 34144000
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