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3434248424343 = 311258716117103
BaseRepresentation
bin110001111110011001001…
…010000100101110010111
3110011022101200021212101210
4301332121022010232113
5422231320044034333
611145401050152503
7503054606650542
oct61763112045627
913138350255353
103434248424343
111104502783200
124756b6a22733
131bbb04765199
14bc30b843859
155e4ecc0da63
hex31f99284b97

3434248424343 has 24 divisors (see below), whose sum is σ = 5041688004864. Its totient is φ = 2077816789840.

The previous prime is 3434248424333. The next prime is 3434248424351.

3434248424343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3434248424343 - 26 = 3434248424279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3434248424292 and 3434248424301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434248424333) 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, 7845471 + ... + 8271632.

It is an arithmetic number, because the mean of its divisors is an integer number (210070333536).

Almost surely, 23434248424343 is an apocalyptic number.

3434248424343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3434248424343 is a deficient number, since it is larger than the sum of its proper divisors (1607439580521).

3434248424343 is a wasteful number, since it uses less digits than its factorization.

3434248424343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16117715 (or 16117704 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 48.

The spelling of 3434248424343 in words is "three trillion, four hundred thirty-four billion, two hundred forty-eight million, four hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 3 11 33 121 363 587 1761 6457 19371 71027 213081 16117103 48351309 177288133 531864399 1950169463 5850508389 9460739461 28382218383 104068134071 312204402213 1144749474781 3434248424343