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34205123 = 293972971
BaseRepresentation
bin1000001001111…
…0110111000011
32101100210121102
42002132313003
532224030443
63221045015
7563511251
oct202366703
971323542
1034205123
11183428a7
12b55676b
137118024
1447855d1
153009cb8
hex209edc3

34205123 has 8 divisors (see below), whose sum is σ = 35485680. Its totient is φ = 32931360.

The previous prime is 34205089. The next prime is 34205147. The reversal of 34205123 is 32150243.

It is a happy number.

34205123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34205123 - 210 = 34204099 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34205095 and 34205104.

It is not an unprimeable number, because it can be changed into a prime (34205153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10028 + ... + 12998.

It is an arithmetic number, because the mean of its divisors is an integer number (4435710).

Almost surely, 234205123 is an apocalyptic number.

34205123 is a deficient number, since it is larger than the sum of its proper divisors (1280557).

34205123 is a wasteful number, since it uses less digits than its factorization.

34205123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34205123 is about 5848.5145977419. The cubic root of 34205123 is about 324.6113634597.

Adding to 34205123 its reverse (32150243), we get a palindrome (66355366).

The spelling of 34205123 in words is "thirty-four million, two hundred five thousand, one hundred twenty-three".

Divisors: 1 29 397 2971 11513 86159 1179487 34205123