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34205409 = 3676703
BaseRepresentation
bin1000001001111…
…0111011100001
32101100211000000
42002132323201
532224033114
63221050213
7563512140
oct202367341
971324000
1034205409
1118343037
12b556969
1371181b4
144785757
153009e09
hex209eee1

34205409 has 28 divisors (see below), whose sum is σ = 58619776. Its totient is φ = 19543032.

The previous prime is 34205407. The next prime is 34205429. The reversal of 34205409 is 90450243.

34205409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34205409 - 21 = 34205407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34205407) 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 27 ways as a sum of consecutive naturals, for example, 1752 + ... + 8454.

Almost surely, 234205409 is an apocalyptic number.

It is an amenable number.

34205409 is a deficient number, since it is larger than the sum of its proper divisors (24414367).

34205409 is an frugal number, since it uses more digits than its factorization.

34205409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34205409 is about 5848.5390483436. The cubic root of 34205409 is about 324.6122681838.

The spelling of 34205409 in words is "thirty-four million, two hundred five thousand, four hundred nine".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 5103 6703 20109 46921 60327 140763 180981 422289 542943 1266867 1628829 3800601 4886487 11401803 34205409