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343725086341 = 713316117911159
BaseRepresentation
bin1010000000001111001…
…11001001011010000101
31012212012210101120001101
411000013213021122011
521112422110230331
6421523301300101
733555554012230
oct5000747113205
91185183346041
10343725086341
1112285593989a
1256748a04631
132654a879370
14128ca340417
158e1b215061
hex50079c9685

343725086341 has 64 divisors (see below), whose sum is σ = 446371430400. Its totient is φ = 257401670400.

The previous prime is 343725086297. The next prime is 343725086347. The reversal of 343725086341 is 143680527343.

It is not a de Polignac number, because 343725086341 - 217 = 343724955269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343725086291 and 343725086300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343725086347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30796920 + ... + 30808078.

It is an arithmetic number, because the mean of its divisors is an integer number (6974553600).

Almost surely, 2343725086341 is an apocalyptic number.

343725086341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

343725086341 is a deficient number, since it is larger than the sum of its proper divisors (102646344059).

343725086341 is a wasteful number, since it uses less digits than its factorization.

343725086341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11450.

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 343725086341 in words is "three hundred forty-three billion, seven hundred twenty-five million, eighty-six thousand, three hundred forty-one".

Divisors: 1 7 13 31 61 91 179 217 403 427 793 1253 1891 2327 2821 5549 5551 10919 11159 13237 16289 24583 38843 72137 76433 78113 141947 145067 172081 338489 345929 504959 680699 993629 1015469 1997461 2369423 2421503 4400357 4497077 4764893 8849087 13982227 21101669 25966993 30802499 31479539 61921291 61943609 121845121 147711683 181768951 274321697 433449037 804976783 852915847 1583986573 1920251879 3777198751 5634837481 11087906011 26440391257 49103583763 343725086341