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34240635 = 325111317313
BaseRepresentation
bin1000001010011…
…1100001111011
32101102121022200
42002213201323
532231200020
63221521243
7564016632
oct202474173
971377280
1034240635
1118367550
12b573223
13712b240
144794519
153015590
hex20a787b

34240635 has 96 divisors (see below), whose sum is σ = 74063808. Its totient is φ = 14376960.

The previous prime is 34240627. The next prime is 34240639. The reversal of 34240635 is 53604243.

34240635 is a `hidden beast` number, since 3 + 4 + 24 + 0 + 635 = 666.

34240635 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 34240635 - 23 = 34240627 is a prime.

It is a super-3 number, since 3×342406353 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34240599 and 34240608.

It is not an unprimeable number, because it can be changed into a prime (34240639) 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 95 ways as a sum of consecutive naturals, for example, 109239 + ... + 109551.

It is an arithmetic number, because the mean of its divisors is an integer number (771498).

Almost surely, 234240635 is an apocalyptic number.

34240635 is an abundant number, since it is smaller than the sum of its proper divisors (39823173).

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

34240635 is a wasteful number, since it uses less digits than its factorization.

34240635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34240635 is about 5851.5497947125. The cubic root of 34240635 is about 324.7236625413.

Adding to 34240635 its reverse (53604243), we get a palindrome (87844878).

The spelling of 34240635 in words is "thirty-four million, two hundred forty thousand, six hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 17 33 39 45 51 55 65 85 99 117 143 153 165 187 195 221 255 313 429 495 561 585 663 715 765 935 939 1105 1287 1565 1683 1989 2145 2431 2805 2817 3315 3443 4069 4695 5321 6435 7293 8415 9945 10329 12155 12207 14085 15963 17215 20345 21879 26605 30987 36465 36621 44759 47889 51645 58531 61035 69173 79815 109395 134277 154935 175593 183105 207519 223795 239445 292655 345865 402831 526779 622557 671385 760903 877965 1037595 2014155 2282709 2633895 3112785 3804515 6848127 11413545 34240635