Search a number
-
+
34345422454343 = 7111375074570549
BaseRepresentation
bin1111100111100101010101…
…01101000111111001000111
311111121101112112200020122012
413303302222231013321013
514000203411122014333
6201014022543124435
710143242404665410
oct763625255077107
9144541475606565
1034345422454343
11aa418a2657190
123a284585a371b
1316219b464b5b0
1486a482228807
153e860aecce48
hex1f3caab47e47

34345422454343 has 32 divisors (see below), whose sum is σ = 46120286553600. Its totient is φ = 24700703967360.

The previous prime is 34345422454309. The next prime is 34345422454397.

It is a happy number.

34345422454343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34345422454343 - 216 = 34345422388807 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34345422454291 and 34345422454300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345422459343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5229233 + ... + 9799781.

It is an arithmetic number, because the mean of its divisors is an integer number (1441258954800).

Almost surely, 234345422454343 is an apocalyptic number.

34345422454343 is a deficient number, since it is larger than the sum of its proper divisors (11774864099257).

34345422454343 is a wasteful number, since it uses less digits than its factorization.

34345422454343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578087.

The product of its digits is 33177600, while the sum is 50.

It can be divided in two parts, 3434542 and 2454343, that added together give a palindrome (5888885).

The spelling of 34345422454343 in words is "thirty-four trillion, three hundred forty-five billion, four hundred twenty-two million, four hundred fifty-four thousand, three hundred forty-three".

Divisors: 1 7 11 13 77 91 143 1001 7507 52549 82577 97591 578039 683137 1073501 4570549 7514507 31993843 50276039 59417137 351932273 415919959 653588507 4575119549 34311111343 240177779401 377422224773 446044447459 2641955573411 3122311132213 4906488922049 34345422454343