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34142715 = 365171929
BaseRepresentation
bin1000001000111…
…1100111111011
32101020122000000
42002033213323
532220031330
63215444043
7563131305
oct202174773
971218000
1034142715
11182aaa22
12b526623
1370c57b9
14476a975
152ee6560
hex208f9fb

34142715 has 112 divisors (see below), whose sum is σ = 70826400. Its totient is φ = 15676416.

The previous prime is 34142699. The next prime is 34142767. The reversal of 34142715 is 51724143.

It is not a de Polignac number, because 34142715 - 24 = 34142699 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1177321 + ... + 1177349.

Almost surely, 234142715 is an apocalyptic number.

34142715 is an abundant number, since it is smaller than the sum of its proper divisors (36683685).

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

34142715 is a wasteful number, since it uses less digits than its factorization.

34142715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 34142715 is about 5843.1767900689. The cubic root of 34142715 is about 324.4138230789.

Adding to 34142715 its reverse (51724143), we get a palindrome (85866858).

The spelling of 34142715 in words is "thirty-four million, one hundred forty-two thousand, seven hundred fifteen".

Divisors: 1 3 5 9 15 17 19 27 29 45 51 57 81 85 87 95 135 145 153 171 243 255 261 285 323 405 435 459 493 513 551 729 765 783 855 969 1215 1305 1377 1479 1539 1615 1653 2295 2349 2465 2565 2755 2907 3645 3915 4131 4437 4617 4845 4959 6885 7047 7395 7695 8265 8721 9367 11745 12393 13311 13851 14535 14877 20655 21141 22185 23085 24795 26163 28101 35235 39933 43605 44631 46835 61965 66555 69255 74385 78489 84303 105705 119799 130815 133893 140505 199665 223155 235467 252909 359397 392445 401679 421515 598995 669465 758727 1177335 1264545 1796985 2008395 2276181 3793635 6828543 11380905 34142715