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34260135 = 35713191321
BaseRepresentation
bin1000001010110…
…0010010100111
32101110121001220
42002230102213
532232311020
63222151423
7564130530
oct202542247
971417056
1034260135
1118380168
12b582573
137137090
14479b687
15301b240
hex20ac4a7

34260135 has 64 divisors (see below), whose sum is σ = 71070720. Its totient is φ = 13685760.

The previous prime is 34260103. The next prime is 34260139. The reversal of 34260135 is 53106243.

It is a happy number.

It is not a de Polignac number, because 34260135 - 25 = 34260103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34260139) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25275 + ... + 26595.

It is an arithmetic number, because the mean of its divisors is an integer number (1110480).

Almost surely, 234260135 is an apocalyptic number.

34260135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34260135 is an abundant number, since it is smaller than the sum of its proper divisors (36810585).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34260135 is a wasteful number, since it uses less digits than its factorization.

34260135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368.

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

The square root of 34260135 is about 5853.2157827984. The cubic root of 34260135 is about 324.7852940867.

Adding to 34260135 its reverse (53106243), we get a palindrome (87366378).

The spelling of 34260135 in words is "thirty-four million, two hundred sixty thousand, one hundred thirty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 57 65 91 95 105 133 195 247 273 285 399 455 665 741 1235 1321 1365 1729 1995 3705 3963 5187 6605 8645 9247 17173 19815 25099 25935 27741 46235 51519 75297 85865 120211 125495 138705 175693 257595 326287 360633 376485 527079 601055 878465 978861 1631435 1803165 2284009 2635395 4894305 6852027 11420045 34260135