3428345760
3,428,345,760 is an even composite number composed of six prime numbers multiplied together.
What does the number 3428345760 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
3428345760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 3428345760:
25 × 3 × 5 × 72 × 71 × 2053
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 71 × 2053)See below for interesting mathematical facts about the number 3428345760 from the Numbermatics database.
Names of 3428345760
- Cardinal: 3428345760 can be written as Three billion, four hundred twenty-eight million, three hundred forty-five thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 3.42834576 × 109
Factors of 3428345760
Divisors of 3428345760
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 71 80 84 96 98 105 112 120 140 142 147 160 168 196 210 213 224 240 245 280 284 294 336 355 392 420 426 480 490 497 560 568 588 672 710 735 784 840 852 980 994 1065 1120 1136 1176 1420 1470 1491 1568 1680 1704 1960 1988 2053 2130 2272 2352 2485 2840 2940 2982 3360 3408 3479 3920 3976 4106 4260 4704 4970 5680 5880 5964 6159 6816 6958 7455 7840 7952 8212 8520 9940 10265 10437 11360 11760 11928 12318 13916 14371 14910 15904 16424 17040 17395 19880 20530 20874 23520 23856 24636 27832 28742 29820 30795 32848 34080 34790 39760 41060 41748 43113 47712 49272 52185 55664 57484 59640 61590 65696 69580 71855 79520 82120 83496 86226 98544 100597 104370 111328 114968 119280 123180 139160 143710 145763 164240 166992 172452 197088 201194 208740 215565 229936 238560 246360 278320 287420 291526 301791 328480 333984 344904 402388 417480 431130 437289 459872 492720 502985 556640 574840 583052 603582 689808 728815 804776 834960 862260 874578 985440 1005970 1020341 1149680 1166104 1207164 1379616 1457630 1508955 1609552 1669920 1724520 1749156 2011940 2040682 2186445 2299360 2332208 2414328 2915260 3017910 3061023 3219104 3449040 3498312 4023880 4081364 4372890 4664416 4828656 5101705 5830520 6035820 6122046 6898080 6996624 7142387 8047760 8162728 8745780 9657312 10203410 11661040 12071640 12244092 13993248 14284774 15305115 16095520 16325456 17491560 20406820 21427161 23322080 24143280 24488184 28569548 30610230 32650912 34983120 35711935 40813640 42854322 48286560 48976368 57139096 61220460 69966240 71423870 81627280 85708644 97952736 107135805 114278192 122440920 142847740 163254560 171417288 214271610 228556384 244881840 285695480 342834576 428543220 489763680 571390960 685669152 857086440 1142781920 1714172880 3428345760
- Sum of all divisors σ(n): 12745579392
- Sum of proper divisors (its aliquot sum) s(n): 9317233632
- 3428345760 is an abundant number, because the sum of its proper divisors (9317233632) is greater than itself. Its abundance is 5888887872
Bases of 3428345760
- Binary: 110011000101100001100111101000002
- Hexadecimal: 0xCC5867A0
- Base-36: 1KP5CIO
Squares and roots of 3428345760
- 3428345760 squared (34283457602) is 11753554650109977600
- 3428345760 cubed (34283457603) is 40295249249632825238654976000
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The
square root of 3428345760 is 58552.0773329181 -
The
cube root of 3428345760 is 1507.8617983187
Scales and comparisons
How big is 3428345760?- 3,428,345,760 seconds is equal to 109 years, 3 days, 22 hours, 16 minutes.
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To count from 1 to 3,428,345,760 would take you about two hundred eighteen 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 3428345760 cubic inches would be around 125.7 feet tall.
Recreational maths with 3428345760
- 3428345760 backwards is 0675438243
- 3428345760 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 3428345760's digits is 42
- More coming soon!
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