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343441000071 = 321319219342131
BaseRepresentation
bin1001111111101101010…
…11011100011010000111
31012211110222211110221200
410333312223130122013
521111331344000241
6421435152313543
733545534222331
oct4776653343207
91184428743850
10343441000071
1112271a544654
12566898428b3
1326503a60a90
14128a0710451
158e012eb4b6
hex4ff6adc687

343441000071 has 72 divisors (see below), whose sum is σ = 566774325936. Its totient is φ = 199182551040.

The previous prime is 343441000051. The next prime is 343441000079. The reversal of 343441000071 is 170000144343.

It is not a de Polignac number, because 343441000071 - 217 = 343440868999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343440999999 and 343441000044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343441000079) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8130676 + ... + 8172806.

It is an arithmetic number, because the mean of its divisors is an integer number (7871865638).

Almost surely, 2343441000071 is an apocalyptic number.

343441000071 is a deficient number, since it is larger than the sum of its proper divisors (223333325865).

343441000071 is a wasteful number, since it uses less digits than its factorization.

343441000071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42381 (or 42359 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 343441000071 in words is "three hundred forty-three billion, four hundred forty-one million, seventy-one", and thus it is an aban number.

Divisors: 1 3 9 13 19 39 57 117 171 193 247 361 579 741 1083 1737 2223 2509 3249 3667 4693 7527 11001 14079 22581 33003 42131 42237 47671 69673 126393 143013 209019 379179 429039 547703 627057 800489 905749 1643109 2401467 2717247 4929327 7204401 8131283 8151741 10406357 15209291 24393849 31219071 45627873 73181547 93657213 105706679 136883619 154494377 197720783 317120037 463483131 593162349 951360111 1390449393 1779487047 2008426901 2935393163 6025280703 8806179489 18075842109 26418538467 38160111119 114480333357 343441000071