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34533135 = 345713937
BaseRepresentation
bin1000001110111…
…0111100001111
32101222110120000
42003232330033
532320030020
63232055343
7566345460
oct203567417
971873500
1034533135
111854728a
12b694553
137201410
14482cd67
153072090
hex20eef0f

34533135 has 80 divisors (see below), whose sum is σ = 76270656. Its totient is φ = 14556672.

The previous prime is 34533133. The next prime is 34533197. The reversal of 34533135 is 53133543.

It is a happy number.

34533135 is a `hidden beast` number, since 345 + 3 + 313 + 5 = 666.

It is not a de Polignac number, because 34533135 - 21 = 34533133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34533099 and 34533108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34533133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36387 + ... + 37323.

Almost surely, 234533135 is an apocalyptic number.

34533135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34533135 is an abundant number, since it is smaller than the sum of its proper divisors (41737521).

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

34533135 is a wasteful number, since it uses less digits than its factorization.

34533135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 965 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 34533135 is about 5876.4900238152. The cubic root of 34533135 is about 325.6456906895.

Adding to 34533135 its reverse (53133543), we get a palindrome (87666678).

The spelling of 34533135 in words is "thirty-four million, five hundred thirty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 315 351 405 455 567 585 819 937 945 1053 1365 1755 2457 2811 2835 4095 4685 5265 6559 7371 8433 12181 12285 14055 19677 25299 32795 36543 36855 42165 59031 60905 75897 85267 98385 109629 126495 177093 182715 255801 295155 328887 379485 426335 531279 548145 767403 885465 986661 1279005 1644435 2302209 2656395 3837015 4933305 6906627 11511045 34533135