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34036125 = 3531719281
BaseRepresentation
bin1000000111010…
…1100110011101
32101001012210020
42001311212131
532203124000
63213302353
7562205454
oct201654635
971035706
1034036125
1118237932
12b4949b9
137089126
14473db9b
152ec4ba0
hex207599d

34036125 has 64 divisors (see below), whose sum is σ = 63348480. Its totient is φ = 16128000.

The previous prime is 34036099. The next prime is 34036141. The reversal of 34036125 is 52163043.

It is a happy number.

34036125 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 34036125 - 27 = 34035997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34036095 and 34036104.

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 63 ways as a sum of consecutive naturals, for example, 120985 + ... + 121265.

It is an arithmetic number, because the mean of its divisors is an integer number (989820).

Almost surely, 234036125 is an apocalyptic number.

It is an amenable number.

34036125 is a deficient number, since it is larger than the sum of its proper divisors (29312355).

34036125 is a wasteful number, since it uses less digits than its factorization.

34036125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 34036125 is about 5834.0487656515. The cubic root of 34036125 is about 324.0758757673.

Adding to 34036125 its reverse (52163043), we get a palindrome (86199168).

The spelling of 34036125 in words is "thirty-four million, thirty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 19 25 51 57 75 85 95 125 255 281 285 323 375 425 475 843 969 1275 1405 1425 1615 2125 2375 4215 4777 4845 5339 6375 7025 7125 8075 14331 16017 21075 23885 24225 26695 35125 40375 71655 80085 90763 105375 119425 121125 133475 272289 358275 400425 453815 597125 667375 1361445 1791375 2002125 2269075 6807225 11345375 34036125