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34120125 = 3253132333
BaseRepresentation
bin1000001000101…
…0000110111101
32101012111000100
42002022012331
532213321000
63215151313
7563005404
oct202120675
971174010
1034120125
1118294a56
12b515539
1370b8430
14476263b
152edea00
hex208a1bd

34120125 has 48 divisors (see below), whose sum is σ = 66266928. Its totient is φ = 16790400.

The previous prime is 34120117. The next prime is 34120147. The reversal of 34120125 is 52102143.

It can be written as a sum of positive squares in 8 ways, for example, as 20304036 + 13816089 = 4506^2 + 3717^2 .

It is not a de Polignac number, because 34120125 - 23 = 34120117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34120098 and 34120107.

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 47 ways as a sum of consecutive naturals, for example, 13459 + ... + 15791.

It is an arithmetic number, because the mean of its divisors is an integer number (1380561).

Almost surely, 234120125 is an apocalyptic number.

It is an amenable number.

34120125 is a deficient number, since it is larger than the sum of its proper divisors (32146803).

34120125 is a wasteful number, since it uses less digits than its factorization.

34120125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34120125 is about 5841.2434463905. The cubic root of 34120125 is about 324.3422594952.

Adding to 34120125 its reverse (52102143), we get a palindrome (86222268).

The spelling of 34120125 in words is "thirty-four million, one hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2333 2925 4875 6999 11665 14625 20997 30329 34995 58325 90987 104985 151645 174975 272961 291625 454935 524925 758225 874875 1364805 2274675 2624625 3791125 6824025 11373375 34120125