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34341355314343 = 7211431481699759
BaseRepresentation
bin1111100111011101110000…
…10010001101110010100111
311111121000001002122010102101
413303232320102031302213
514000122043430024333
6201012111214152531
710143036540606400
oct763567022156247
9144530032563371
1034341355314343
11aa400a5885760
123a277024b2747
1316214b6b5008c
1486a1b7dd89a7
153e846dde467d
hex1f3bb848dca7

34341355314343 has 24 divisors (see below), whose sum is σ = 44593235976960. Its totient is φ = 26137183731120.

The previous prime is 34341355314313. The next prime is 34341355314361.

34341355314343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34341355314343 - 221 = 34341353217191 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34341355314293 and 34341355314302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341355314313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740826703 + ... + 740873056.

It is an arithmetic number, because the mean of its divisors is an integer number (1858051499040).

Almost surely, 234341355314343 is an apocalyptic number.

34341355314343 is a deficient number, since it is larger than the sum of its proper divisors (10251880662617).

34341355314343 is a wasteful number, since it uses less digits than its factorization.

34341355314343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481699827 (or 1481699820 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 46.

It can be divided in two parts, 3434135 and 5314343, that added together give a palindrome (8748478).

The spelling of 34341355314343 in words is "thirty-four trillion, three hundred forty-one billion, three hundred fifty-five million, three hundred fourteen thousand, three hundred forty-three".

Divisors: 1 7 11 43 49 77 301 473 539 2107 3311 23177 1481699759 10371898313 16298697349 63713089637 72603288191 114090881443 445991627459 700843986007 798636170101 3121941392213 4905907902049 34341355314343