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345230040032543 = 1710110312791526267
BaseRepresentation
bin100111001111111000010000…
…1111001101110010100011111
31200021100200002001220011210002
41032133300201321232110133
5330222222110222020133
63222124254013204515
7132501022136363621
oct11637604171562437
91607320061804702
10345230040032543
11a0001268519326
1232877a89a9073b
1311a8308c823393
14613731a244c11
1529da35b606ce8
hex139fc21e6e51f

345230040032543 has 32 divisors (see below), whose sum is σ = 373032597749760. Its totient is φ = 318332689113600.

The previous prime is 345230040032531. The next prime is 345230040032593.

345230040032543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345230040032543 - 226 = 345229972923679 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345230040032497 and 345230040032506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345230040032593) 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, 225429296 + ... + 226955562.

It is an arithmetic number, because the mean of its divisors is an integer number (11657268679680).

Almost surely, 2345230040032543 is an apocalyptic number.

345230040032543 is a deficient number, since it is larger than the sum of its proper divisors (27802557717217).

345230040032543 is a wasteful number, since it uses less digits than its factorization.

345230040032543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527767.

The product of its (nonzero) digits is 518400, while the sum is 38.

The spelling of 345230040032543 in words is "three hundred forty-five trillion, two hundred thirty billion, forty million, thirty-two thousand, five hundred forty-three".

Divisors: 1 17 101 103 1279 1717 1751 10403 21743 129179 131737 176851 1526267 2196043 2239529 13305437 25946539 154152967 157205501 226192429 1952095493 2620600439 2672493517 15877755601 33185623381 197161644793 201065835779 269921845217 3351747961481 3418119208243 20307649413679 345230040032543