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34048375 = 53421647
BaseRepresentation
bin1000000111100…
…0100101110111
32101001211120221
42001320211313
532204022000
63213435211
7562256254
oct201704567
971054527
1034048375
1118246059
12b49bb07
13709188a
14474442b
152ec861a
hex2078977

34048375 has 16 divisors (see below), whose sum is σ = 42659136. Its totient is φ = 27132000.

The previous prime is 34048373. The next prime is 34048379. The reversal of 34048375 is 57384043.

It is a happy number.

34048375 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 34048375 - 21 = 34048373 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34048375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34048373) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52302 + ... + 52948.

It is an arithmetic number, because the mean of its divisors is an integer number (2666196).

Almost surely, 234048375 is an apocalyptic number.

34048375 is a deficient number, since it is larger than the sum of its proper divisors (8610761).

34048375 is an equidigital number, since it uses as much as digits as its factorization.

34048375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 34048375 is about 5835.0985424412. The cubic root of 34048375 is about 324.1147506715.

The spelling of 34048375 in words is "thirty-four million, forty-eight thousand, three hundred seventy-five".

Divisors: 1 5 25 125 421 647 2105 3235 10525 16175 52625 80875 272387 1361935 6809675 34048375