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34055125 = 5313191103
BaseRepresentation
bin1000000111101…
…0001111010101
32101002011211221
42001322033111
532204231000
63213530341
7562315036
oct201721725
971064757
1034055125
1118250135
12b4a39b1
137094980
144746a8d
152eca61a
hex207a3d5

34055125 has 32 divisors (see below), whose sum is σ = 48222720. Its totient is φ = 23803200.

The previous prime is 34055123. The next prime is 34055137. The reversal of 34055125 is 52155043.

34055125 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 34055125 - 21 = 34055123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 34055125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34055123) 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 31 ways as a sum of consecutive naturals, for example, 30324 + ... + 31426.

It is an arithmetic number, because the mean of its divisors is an integer number (1506960).

Almost surely, 234055125 is an apocalyptic number.

It is an amenable number.

34055125 is a deficient number, since it is larger than the sum of its proper divisors (14167595).

34055125 is a wasteful number, since it uses less digits than its factorization.

34055125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 34055125 is about 5835.6769101793. The cubic root of 34055125 is about 324.1361675527.

The spelling of 34055125 in words is "thirty-four million, fifty-five thousand, one hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 125 247 325 475 1103 1235 1625 2375 5515 6175 14339 20957 27575 30875 71695 104785 137875 272441 358475 523925 1362205 1792375 2619625 6811025 34055125