345430400
345,430,400 is an even composite number composed of four prime numbers multiplied together.
345430400 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 345430400:
27 × 52 × 72 × 2203
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 2203)See below for interesting mathematical facts about the number 345430400 from the Numbermatics database.
Names of 345430400
- Cardinal: 345430400 can be written as Three hundred forty-five million, four hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 3.454304 × 108
Factors of 345430400
Divisors of 345430400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 640 700 784 800 896 980 1120 1225 1400 1568 1600 1960 2203 2240 2450 2800 3136 3200 3920 4406 4480 4900 5600 6272 7840 8812 9800 11015 11200 15421 15680 17624 19600 22030 22400 30842 31360 35248 39200 44060 55075 61684 70496 77105 78400 88120 107947 110150 123368 140992 154210 156800 176240 215894 220300 246736 281984 308420 352480 385525 431788 440600 493472 539735 616840 704960 771050 863576 881200 986944 1079470 1233680 1409920 1542100 1727152 1762400 1973888 2158940 2467360 2698675 3084200 3454304 3524800 4317880 4934720 5397350 6168400 6908608 7049600 8635760 9869440 10794700 12336800 13817216 17271520 21589400 24673600 34543040 43178800 49347200 69086080 86357600 172715200 345430400
- Sum of all divisors σ(n): 993089340
- Sum of proper divisors (its aliquot sum) s(n): 647658940
- 345430400 is an abundant number, because the sum of its proper divisors (647658940) is greater than itself. Its abundance is 302228540
Bases of 345430400
- Binary: 101001001011011011001100000002
- Hexadecimal: 0x1496D980
- Base-36: 5PNRSW
Squares and roots of 345430400
- 345430400 squared (3454304002) is 119322161244160000
- 345430400 cubed (3454304003) is 41217501887434686464000000
-
The
square root of 345430400 is 18585.7579883093 -
The
cube root of 345430400 is 701.6494436173
Scales and comparisons
How big is 345430400?- 345,430,400 seconds is equal to 10 years, 51 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 345,430,400 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 345430400 cubic inches would be around 58.5 feet tall.
Recreational maths with 345430400
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