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34138825 = 527373523
BaseRepresentation
bin1000001000111…
…0101011001001
32101020102122221
42002032223021
532214420300
63215414041
7563114050
oct202165311
971212587
1034138825
11182a8006
12b524321
1370c3ab6
144769397
152ee531a
hex208eac9

34138825 has 24 divisors (see below), whose sum is σ = 48602048. Its totient is φ = 23302080.

The previous prime is 34138787. The next prime is 34138849. The reversal of 34138825 is 52883143.

It is a happy number.

It is not a de Polignac number, because 34138825 - 27 = 34138697 is a prime.

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 65014 + ... + 65536.

Almost surely, 234138825 is an apocalyptic number.

34138825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34138825 is a deficient number, since it is larger than the sum of its proper divisors (14463223).

34138825 is a wasteful number, since it uses less digits than its factorization.

34138825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 908 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 34138825 is about 5842.8439137119. The cubic root of 34138825 is about 324.4015020737.

The spelling of 34138825 in words is "thirty-four million, one hundred thirty-eight thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 175 373 523 1865 2611 2615 3661 9325 13055 13075 18305 65275 91525 195079 975395 1365553 4876975 6827765 34138825