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3345336 = 233297479
BaseRepresentation
bin1100110000101110111000
320021221221100
430300232320
51324022321
6155411400
740302111
oct14605670
96257840
103345336
111985445
121153b60
139018b7
14631208
15461326
hex330bb8

3345336 has 48 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 1101312.

The previous prime is 3345323. The next prime is 3345361. The reversal of 3345336 is 6335433.

3345336 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-2 number, since 2×33453362 = 22382545905792, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6745 + ... + 7223.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 23345336 is an apocalyptic number.

3345336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

3345336 is an abundant number, since it is smaller than the sum of its proper divisors (5827464).

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

3345336 is a wasteful number, since it uses less digits than its factorization.

3345336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 581 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 3345336 is about 1829.0259702913. The cubic root of 3345336 is about 149.5592394696.

It can be divided in two parts, 33453 and 36, that added together give a square (33489 = 1832).

The spelling of 3345336 in words is "three million, three hundred forty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 479 582 776 873 958 1164 1437 1746 1916 2328 2874 3492 3832 4311 5748 6984 8622 11496 17244 34488 46463 92926 139389 185852 278778 371704 418167 557556 836334 1115112 1672668 3345336