Number of the day: 3945755420

Properties of the number 3945755420:

3945755420 = 2² × 5 × 17 × 71 × 149 × 1097 is the 3758248020^th composite number and is not squarefree.
3945755420 has 6 distinct prime factors, 96 divisors, 47 antidivisors and 1453383680 totatives.
3945755420 is the difference of 2 nonnegative squares in 16 ways.
3945755420 is the difference of 2 positive pentagonal numbers in 14 ways.
3945755420 is not the sum of 3 positive squares.
3945755420² = 2367453252² + 3156604336² = 1144004256² + 3776273308² = 2155600612² + 3304901184² = 1671143472² + 3574390204² = 346752924² + 3930489568² = 2786485312² + 2793650916² = 767654272² + 3870360804² = 603468476² + 3899334768² = 1901688992² + 3457248156² = 2132557136² + 3319817148² = 867431708² + 3849226944² = 2389355616² + 3140058212² = 1046019996² + 3804579872² = 319401168² + 3932806724² = 1646236956² + 3585929408² = 1568908016² + 3620430012² = 234934172² + 3938755104² = 2713349348² + 2864737536² = 2589908464² + 2976803652² = 1414565092² + 3683475456² = 1910517984² + 3452376988² = 1407811004² + 3686062128² = 61103168² + 3945282276² = 2584447712² + 2981545884² = 877314624² + 3846986468² = 492431292² + 3914907056² = 1802688864² + 3509885852² = 2104163100² + 3337886080² = 834568080² + 3856485700² = 2416051900² + 3119563920² = 1954999200² + 3427384420² = 663780420² + 3889522000² = 2551200400² + 3010043580² = 1078433200² + 3795519420² = 285844580² + 3935388000² = 1615590800² + 3599840580² = 1856826080² + 3481548900² = 552997700² + 3906811920² = 2635696080² + 2936339900² = 1350560580² + 3707421200² is the sum of 2 positive squares in 40 ways.
3945755420² is the sum of 3 positive squares.
3945755420 is a proper divisor of 1789⁵⁴⁸⁰ - 1.