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34204131 = 3213292343
BaseRepresentation
bin1000001001111…
…0100111100011
32101100202020200
42002132213203
532224013011
63221040243
7563505333
oct202364743
971322220
1034204131
1118342085
12b556083
137117740
1447850c3
153009856
hex209e9e3

34204131 has 12 divisors (see below), whose sum is σ = 53206608. Its totient is φ = 21048624.

The previous prime is 34204117. The next prime is 34204139. The reversal of 34204131 is 13140243.

34204131 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 34204131 - 25 = 34204099 is a prime.

It is a super-2 number, since 2×342041312 = 2339845154930322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34204139) 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 11 ways as a sum of consecutive naturals, for example, 146055 + ... + 146288.

It is an arithmetic number, because the mean of its divisors is an integer number (4433884).

Almost surely, 234204131 is an apocalyptic number.

34204131 is a deficient number, since it is larger than the sum of its proper divisors (19002477).

34204131 is a wasteful number, since it uses less digits than its factorization.

34204131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292362 (or 292359 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34204131 is about 5848.4297892682. The cubic root of 34204131 is about 324.6082253568.

Adding to 34204131 its reverse (13140243), we get a palindrome (47344374).

The spelling of 34204131 in words is "thirty-four million, two hundred four thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 292343 877029 2631087 3800459 11401377 34204131