Search a number
-
+
34205742 = 23218110499
BaseRepresentation
bin1000001001111…
…1000000101110
32101100211110100
42002133000232
532224040432
63221051530
7563513124
oct202370056
971324410
1034205742
111834330a
12b556ba6
1371183ac
144785914
15300a07c
hex209f02e

34205742 has 24 divisors (see below), whose sum is σ = 74529000. Its totient is φ = 11337840.

The previous prime is 34205737. The next prime is 34205753. The reversal of 34205742 is 24750243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1992 + ... + 8507.

It is an arithmetic number, because the mean of its divisors is an integer number (3105375).

Almost surely, 234205742 is an apocalyptic number.

34205742 is an abundant number, since it is smaller than the sum of its proper divisors (40323258).

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

34205742 is a wasteful number, since it uses less digits than its factorization.

34205742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688 (or 10685 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34205742 is about 5848.5675169224. The cubic root of 34205742 is about 324.6133215799.

Adding to 34205742 its reverse (24750243), we get a palindrome (58955985).

The spelling of 34205742 in words is "thirty-four million, two hundred five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 181 362 543 1086 1629 3258 10499 20998 31497 62994 94491 188982 1900319 3800638 5700957 11401914 17102871 34205742