329830400
329,830,400 is an even composite number composed of three prime numbers multiplied together.
329830400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-eight divisors.
Prime factorization of 329830400:
212 × 52 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 3221)See below for interesting mathematical facts about the number 329830400 from the Numbermatics database.
Names of 329830400
- Cardinal: 329830400 can be written as Three hundred twenty-nine million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 3.298304 × 108
Factors of 329830400
Divisors of 329830400
- Number of divisors d(n): 78
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 3221 4096 5120 6400 6442 10240 12800 12884 16105 20480 25600 25768 32210 51200 51536 64420 80525 102400 103072 128840 161050 206144 257680 322100 412288 515360 644200 824576 1030720 1288400 1649152 2061440 2576800 3298304 4122880 5153600 6596608 8245760 10307200 13193216 16491520 20614400 32983040 41228800 65966080 82457600 164915200 329830400
- Sum of all divisors σ(n): 818133462
- Sum of proper divisors (its aliquot sum) s(n): 488303062
- 329830400 is an abundant number, because the sum of its proper divisors (488303062) is greater than itself. Its abundance is 158472662
Bases of 329830400
- Binary: 100111010100011010000000000002
- Hexadecimal: 0x13A8D000
- Base-36: 5GDERK
Squares and roots of 329830400
- 329830400 squared (3298304002) is 108788092764160000
- 329830400 cubed (3298304003) is 35881620151639998464000000
-
The
square root of 329830400 is 18161.2334382883 -
The
cube root of 329830400 is 690.9239180903
Scales and comparisons
How big is 329830400?- 329,830,400 seconds is equal to 10 years, 25 weeks, 2 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 329,830,400 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 329830400 cubic inches would be around 57.6 feet tall.
Recreational maths with 329830400
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