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3386129 = 23237173
BaseRepresentation
bin1100111010101100010001
320101000220012
430322230101
51331324004
6200324305
740532045
oct14725421
96330805
103386129
111a0305a
121173695
13917336
14642025
1546d46e
hex33ab11

3386129 has 12 divisors (see below), whose sum is σ = 3656436. Its totient is φ = 3133152.

The previous prime is 3386093. The next prime is 3386153. The reversal of 3386129 is 9216833.

3386129 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 3055504 + 330625 = 1748^2 + 575^2 .

It is not a de Polignac number, because 3386129 - 220 = 2337553 is a prime.

It is a super-2 number, since 2×33861292 = 22931739209282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3386095 and 3386104.

It is not an unprimeable number, because it can be changed into a prime (3386029) 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 11 ways as a sum of consecutive naturals, for example, 19487 + ... + 19659.

It is an arithmetic number, because the mean of its divisors is an integer number (304703).

Almost surely, 23386129 is an apocalyptic number.

It is an amenable number.

3386129 is a deficient number, since it is larger than the sum of its proper divisors (270307).

3386129 is a wasteful number, since it uses less digits than its factorization.

3386129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 3386129 is about 1840.1437443852. The cubic root of 3386129 is about 150.1646931823.

The spelling of 3386129 in words is "three million, three hundred eighty-six thousand, one hundred twenty-nine".

Divisors: 1 23 37 173 529 851 3979 6401 19573 91517 147223 3386129