Search a number
-
+
34052445 = 3257176359
BaseRepresentation
bin1000000111100…
…1100101011101
32101002001011200
42001321211131
532204134240
63213510113
7562304160
oct201714535
971061150
1034052445
1118249119
12b4a2339
13709369b
144745ad7
152ec9930
hex207995d

34052445 has 48 divisors (see below), whose sum is σ = 71435520. Its totient is φ = 14648832.

The previous prime is 34052413. The next prime is 34052461. The reversal of 34052445 is 54425043.

34052445 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 34052445 - 25 = 34052413 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176 + ... + 8534.

It is an arithmetic number, because the mean of its divisors is an integer number (1488240).

Almost surely, 234052445 is an apocalyptic number.

34052445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34052445 is an abundant number, since it is smaller than the sum of its proper divisors (37383075).

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

34052445 is a wasteful number, since it uses less digits than its factorization.

34052445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 34052445 is about 5835.4472836279. The cubic root of 34052445 is about 324.1276645964.

Adding to 34052445 its reverse (54425043), we get a palindrome (88477488).

The spelling of 34052445 in words is "thirty-four million, fifty-two thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 6359 19077 31795 44513 57231 95385 108103 133539 222565 286155 324309 400617 540515 667695 756721 972927 1621545 2003085 2270163 3783605 4864635 6810489 11350815 34052445