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3434304034343 = 713218911153511
BaseRepresentation
bin110001111110011100011…
…110001101011000100111
3110011022112112221010222102
4301332130132031120213
5422231423313044333
611145410354122315
7503056153432040
oct61763436153047
913138475833872
103434304034343
111104531105886
1247571158039b
131bbb13135c00
14bc314d9b8c7
155e502a45ae8
hex31f9c78d627

3434304034343 has 24 divisors (see below), whose sum is σ = 4250312534016. Its totient is φ = 2717090157600.

The previous prime is 3434304034313. The next prime is 3434304034351.

3434304034343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3434304034343 - 26 = 3434304034279 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3434304034297 and 3434304034306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434304034303) 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, 22294958 + ... + 22448468.

It is an arithmetic number, because the mean of its divisors is an integer number (177096355584).

Almost surely, 23434304034343 is an apocalyptic number.

3434304034343 is a deficient number, since it is larger than the sum of its proper divisors (816008499673).

3434304034343 is a wasteful number, since it uses less digits than its factorization.

3434304034343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172455 (or 172442 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 38.

The spelling of 3434304034343 in words is "three trillion, four hundred thirty-four billion, three hundred four million, thirty-four thousand, three hundred forty-three".

Divisors: 1 7 13 91 169 1183 18911 132377 153511 245843 1074577 1720901 1995643 3195959 13969501 22371713 25943359 181603513 2903046521 20321325647 37739604773 264177233411 490614862049 3434304034343