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343341001200324 = 223176154195091509
BaseRepresentation
bin100111000010001000100111…
…0011010011101001011000100
31200000200002010201001200111210
41032010101032122131023010
5330000244332301402244
63214120402315131420
7132214366036264461
oct11604211632351304
91600602121050453
10343341001200324
119a443112329196
1232611952743b70
1311976bc094ac4a
1460adb16498668
1529a6149cd24b9
hex138444e69d2c4

343341001200324 has 96 divisors (see below), whose sum is σ = 862319314281600. Its totient is φ = 105929434920960.

The previous prime is 343341001200319. The next prime is 343341001200367. The reversal of 343341001200324 is 423002100143343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 343341001200291 and 343341001200300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64888282 + ... + 69979790.

It is an arithmetic number, because the mean of its divisors is an integer number (8982492857100).

Almost surely, 2343341001200324 is an apocalyptic number.

343341001200324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343341001200324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431159657140800).

343341001200324 is an abundant number, since it is smaller than the sum of its proper divisors (518978313081276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343341001200324 is a wasteful number, since it uses less digits than its factorization.

343341001200324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097013 (or 5097011 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 343341001200324 its reverse (423002100143343), we get a palindrome (766343101343667).

The spelling of 343341001200324 in words is "three hundred forty-three trillion, three hundred forty-one billion, one million, two hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 1037 2074 3111 4148 5419 6222 10838 12444 16257 21676 32514 65028 92123 184246 276369 330559 368492 552738 661118 991677 1105476 1322236 1983354 3966708 5091509 5619503 10183018 11239006 15274527 16858509 20366036 22478012 30549054 33717018 61098108 67434036 86555653 173111306 259666959 310582049 346222612 519333918 621164098 931746147 1038667836 1242328196 1863492294 3726984588 5279894833 10559789666 15839684499 21119579332 27590887271 31679368998 55181774542 63358737996 82772661813 110363549084 165545323626 331090647252 469045083607 938090167214 1407135250821 1683044123531 1876180334428 2814270501642 3366088247062 5049132370593 5628541003284 6732176494124 10098264741186 20196529482372 28611750100027 57223500200054 85835250300081 114447000400108 171670500600162 343341001200324