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3434085 = 32517672
BaseRepresentation
bin1101000110011001100101
320110110200100
431012121211
51334342320
6201334313
741121624
oct15063145
96413610
103434085
111a36096
121197399
13933105
146556bb
1547c790
hex346665

3434085 has 36 divisors (see below), whose sum is σ = 6398028. Its totient is φ = 1698048.

The previous prime is 3434083. The next prime is 3434089. The reversal of 3434085 is 5804343.

It is a happy number.

3434085 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 1979649 + 1454436 = 1407^2 + 1206^2 .

It is not a de Polignac number, because 3434085 - 21 = 3434083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434083) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 51222 + ... + 51288.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 23434085 is an apocalyptic number.

It is an amenable number.

3434085 is a deficient number, since it is larger than the sum of its proper divisors (2963943).

3434085 is a wasteful number, since it uses less digits than its factorization.

3434085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3434085 is about 1853.1284359159. The cubic root of 3434085 is about 150.8702743851.

The spelling of 3434085 in words is "three million, four hundred thirty-four thousand, eighty-five".

Divisors: 1 3 5 9 15 17 45 51 67 85 153 201 255 335 603 765 1005 1139 3015 3417 4489 5695 10251 13467 17085 22445 40401 51255 67335 76313 202005 228939 381565 686817 1144695 3434085