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3428166 = 237312633
BaseRepresentation
bin1101000100111101000110
320110011120010
431010331012
51334200131
6201251050
741065440
oct15047506
96404503
103428166
111a316a5
121193a86
13930501
14653490
1547ab46
hex344f46

3428166 has 32 divisors (see below), whose sum is σ = 8091648. Its totient is φ = 947520.

The previous prime is 3428143. The next prime is 3428209. The reversal of 3428166 is 6618243.

3428166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34281663 (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

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 15 ways as a sum of consecutive naturals, for example, 15 + ... + 2618.

It is an arithmetic number, because the mean of its divisors is an integer number (252864).

Almost surely, 23428166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045824).

3428166 is an abundant number, since it is smaller than the sum of its proper divisors (4663482).

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

3428166 is a wasteful number, since it uses less digits than its factorization.

3428166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676.

The product of its digits is 6912, while the sum is 30.

The square root of 3428166 is about 1851.5307180817. The cubic root of 3428166 is about 150.7835443725.

The spelling of 3428166 in words is "three million, four hundred twenty-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 2633 5266 7899 15798 18431 36862 55293 81623 110586 163246 244869 489738 571361 1142722 1714083 3428166