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34142616 = 23322272089
BaseRepresentation
bin1000001000111…
…1100110011000
32101020121212100
42002033212120
532220030431
63215443400
7563131104
oct202174630
971217770
1034142616
11182aa942
12b526560
1370c5741
14476a904
152ee64e6
hex208f998

34142616 has 48 divisors (see below), whose sum is σ = 92921400. Its totient is φ = 11325312.

The previous prime is 34142609. The next prime is 34142617. The reversal of 34142616 is 61624143.

34142616 is a `hidden beast` number, since 3 + 4 + 1 + 42 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34142616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142617) 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 11 ways as a sum of consecutive naturals, for example, 15300 + ... + 17388.

Almost surely, 234142616 is an apocalyptic number.

34142616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34142616 is an abundant number, since it is smaller than the sum of its proper divisors (58778784).

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

34142616 is a wasteful number, since it uses less digits than its factorization.

34142616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2321 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34142616 is about 5843.1683186436. The cubic root of 34142616 is about 324.4135095225.

Adding to 34142616 its reverse (61624143), we get a palindrome (95766759).

The spelling of 34142616 in words is "thirty-four million, one hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 227 454 681 908 1362 1816 2043 2089 2724 4086 4178 5448 6267 8172 8356 12534 16344 16712 18801 25068 37602 50136 75204 150408 474203 948406 1422609 1896812 2845218 3793624 4267827 5690436 8535654 11380872 17071308 34142616