Search a number
-
+
34205388 = 2237407207
BaseRepresentation
bin1000001001111…
…0111011001100
32101100210222020
42002132323030
532224033023
63221050140
7563512110
oct202367314
971323866
1034205388
1118343018
12b556950
137118199
144785740
153009de3
hex209eecc

34205388 has 24 divisors (see below), whose sum is σ = 91214592. Its totient is φ = 9772944.

The previous prime is 34205363. The next prime is 34205389. The reversal of 34205388 is 88350243.

34205388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34205389) 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, 203520 + ... + 203687.

It is an arithmetic number, because the mean of its divisors is an integer number (3800608).

Almost surely, 234205388 is an apocalyptic number.

It is an amenable number.

34205388 is an abundant number, since it is smaller than the sum of its proper divisors (57009204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34205388 is a wasteful number, since it uses less digits than its factorization.

34205388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407221 (or 407219 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 34205388 is about 5848.5372530232. The cubic root of 34205388 is about 324.6122017531.

The spelling of 34205388 in words is "thirty-four million, two hundred five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 407207 814414 1221621 1628828 2443242 2850449 4886484 5700898 8551347 11401796 17102694 34205388