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34135031 = 717793631
BaseRepresentation
bin1000001000110…
…1101111110111
32101020020110102
42002031233313
532214310111
63215344315
7563100020
oct202155767
971206412
1034135031
11182a5177
12b52209b
1370c2158
144767c47
152ee413b
hex208dbf7

34135031 has 16 divisors (see below), whose sum is σ = 41840640. Its totient is φ = 27181440.

The previous prime is 34135027. The next prime is 34135043. The reversal of 34135031 is 13053143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34135031 - 22 = 34135027 is a prime.

It is a super-2 number, since 2×341350312 = 2330400682741922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34134994 and 34135012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7586 + ... + 11216.

It is an arithmetic number, because the mean of its divisors is an integer number (2615040).

Almost surely, 234135031 is an apocalyptic number.

34135031 is a deficient number, since it is larger than the sum of its proper divisors (7705609).

34135031 is a wasteful number, since it uses less digits than its factorization.

34135031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 34135031 is about 5842.5192340291. The cubic root of 34135031 is about 324.3894842329.

Adding to 34135031 its reverse (13053143), we get a palindrome (47188174).

The spelling of 34135031 in words is "thirty-four million, one hundred thirty-five thousand, thirty-one".

Divisors: 1 7 17 79 119 553 1343 3631 9401 25417 61727 286849 432089 2007943 4876433 34135031