Search a number
-
+
3344085 = 34523359
BaseRepresentation
bin1100110000011011010101
320021220020000
430300123111
51324002320
6155401513
740265343
oct14603325
96256200
103344085
111984508
121153299
13901164
14630993
15460c90
hex3306d5

3344085 has 40 divisors (see below), whose sum is σ = 6272640. Its totient is φ = 1701216.

The previous prime is 3344041. The next prime is 3344113. The reversal of 3344085 is 5804433.

It is a happy number.

3344085 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 3344085 - 26 = 3344021 is a prime.

It is a super-2 number, since 2×33440852 = 22365808974450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

3344085 is a lucky 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 39 ways as a sum of consecutive naturals, for example, 9136 + ... + 9494.

It is an arithmetic number, because the mean of its divisors is an integer number (156816).

Almost surely, 23344085 is an apocalyptic number.

It is an amenable number.

3344085 is a deficient number, since it is larger than the sum of its proper divisors (2928555).

3344085 is a wasteful number, since it uses less digits than its factorization.

3344085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

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

The square root of 3344085 is about 1828.6839530110. The cubic root of 3344085 is about 149.5405944131.

The spelling of 3344085 in words is "three million, three hundred forty-four thousand, eighty-five".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 207 345 359 405 621 1035 1077 1795 1863 3105 3231 5385 8257 9315 9693 16155 24771 29079 41285 48465 74313 123855 145395 222939 371565 668817 1114695 3344085