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34009325 = 527316269
BaseRepresentation
bin1000000110111…
…1000011101101
32100222212000122
42001233003231
532201244300
63212534325
7562034360
oct201570355
970885018
1034009325
1118219789
12b4813a5
137079b7c
1447340d7
152ebbc85
hex206f0ed

34009325 has 24 divisors (see below), whose sum is σ = 49758720. Its totient is φ = 22564800.

The previous prime is 34009321. The next prime is 34009337. The reversal of 34009325 is 52390043.

34009325 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 34009325 - 22 = 34009321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34009294 and 34009303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34009321) 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 23 ways as a sum of consecutive naturals, for example, 2291 + ... + 8559.

It is an arithmetic number, because the mean of its divisors is an integer number (2073280).

Almost surely, 234009325 is an apocalyptic number.

34009325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34009325 is a deficient number, since it is larger than the sum of its proper divisors (15749395).

34009325 is a wasteful number, since it uses less digits than its factorization.

34009325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 34009325 is about 5831.7514521797. The cubic root of 34009325 is about 323.9907944598.

Adding to 34009325 its reverse (52390043), we get a palindrome (86399368).

The spelling of 34009325 in words is "thirty-four million, nine thousand, three hundred twenty-five".

Divisors: 1 5 7 25 31 35 155 175 217 775 1085 5425 6269 31345 43883 156725 194339 219415 971695 1097075 1360373 4858475 6801865 34009325