342313972
342,313,972 is an even composite number composed of seven prime numbers multiplied together.
What does the number 342313972 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 192 divisors.
342313972 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 342313972:
22 × 7 × 11 × 13 × 17 × 47 × 107
(2 × 2 × 7 × 11 × 13 × 17 × 47 × 107)See below for interesting mathematical facts about the number 342313972 from the Numbermatics database.
Names of 342313972
- Cardinal: 342313972 can be written as Three hundred forty-two million, three hundred thirteen thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 3.42313972 × 108
Factors of 342313972
Divisors of 342313972
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 7 11 13 14 17 22 26 28 34 44 47 52 68 77 91 94 107 119 143 154 182 187 188 214 221 238 286 308 329 364 374 428 442 476 517 572 611 658 748 749 799 884 1001 1034 1177 1222 1309 1316 1391 1498 1547 1598 1819 2002 2068 2354 2431 2444 2618 2782 2996 3094 3196 3619 3638 4004 4277 4708 4862 5029 5236 5564 5593 6188 6721 7238 7276 8239 8554 8789 9724 9737 10058 10387 11186 12733 13442 14476 15301 16478 17017 17108 17578 19474 20009 20116 20774 22372 23647 25466 26884 30602 32956 34034 35156 35203 38948 40018 41548 47047 47294 50932 55319 61204 61523 65377 68068 70406 72709 80036 85493 94094 94588 107107 110638 114257 123046 130754 140063 140812 145418 165529 170986 188188 214214 221276 228514 246092 260117 261508 280126 290836 331058 341972 387233 428428 457028 457639 520234 560252 598451 662116 719147 774466 799799 915278 940423 1040468 1111409 1196902 1438294 1548932 1599598 1820819 1830556 1880846 2222818 2393804 2876588 3199196 3641638 3761692 4445636 5034029 6582961 7283276 7779863 10068058 12225499 13165922 15559726 20136116 24450998 26331844 31119452 48901996 85578493 171156986 342313972
- Sum of all divisors σ(n): 877879296
- Sum of proper divisors (its aliquot sum) s(n): 535565324
- 342313972 is an abundant number, because the sum of its proper divisors (535565324) is greater than itself. Its abundance is 193251352
Bases of 342313972
- Binary: 101000110011101001011111101002
- Hexadecimal: 0x14674BF4
- Base-36: 5NSZ5G
Squares and roots of 342313972
- 342313972 squared (3423139722) is 117178855426416784
- 342313972 cubed (3423139723) is 40111959435430483058506048
-
The
square root of 342313972 is 18501.7288921873 -
The
cube root of 342313972 is 699.5330028029
Scales and comparisons
How big is 342313972?- 342,313,972 seconds is equal to 10 years, 45 weeks, 6 days, 23 hours, 12 minutes, 52 seconds.
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To count from 1 to 342,313,972 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 342313972 cubic inches would be around 58.3 feet tall.
Recreational maths with 342313972
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