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34142949 = 3210137561
BaseRepresentation
bin1000001000111…
…1101011100101
32101020122022200
42002033223211
532220033244
63215445113
7563132061
oct202175345
971218280
1034142949
1118300115
12b526799
1370c5939
14476aaa1
152ee6669
hex208fae5

34142949 has 12 divisors (see below), whose sum is σ = 49807212. Its totient is φ = 22536000.

The previous prime is 34142939. The next prime is 34142957. The reversal of 34142949 is 94924143.

34142949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18792225 + 15350724 = 4335^2 + 3918^2 .

It is not a de Polignac number, because 34142949 - 217 = 34011877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142939) 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, 17872 + ... + 19689.

It is an arithmetic number, because the mean of its divisors is an integer number (4150601).

Almost surely, 234142949 is an apocalyptic number.

It is an amenable number.

34142949 is a deficient number, since it is larger than the sum of its proper divisors (15664263).

34142949 is a wasteful number, since it uses less digits than its factorization.

34142949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37668 (or 37665 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34142949 is about 5843.1968133891. The cubic root of 34142949 is about 324.4145642097.

The spelling of 34142949 in words is "thirty-four million, one hundred forty-two thousand, nine hundred forty-nine".

Divisors: 1 3 9 101 303 909 37561 112683 338049 3793661 11380983 34142949