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34124142 = 2313273461
BaseRepresentation
bin1000001000101…
…1000101101110
32101012200112010
42002023011232
532213433032
63215222050
7563023203
oct202130556
971180463
1034124142
1118297a78
12b517926
1370ba200
144763caa
152ee0ccc
hex208b16e

34124142 has 48 divisors (see below), whose sum is σ = 75076848. Its totient is φ = 10333440.

The previous prime is 34124141. The next prime is 34124147. The reversal of 34124142 is 24142143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124141) 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 23 ways as a sum of consecutive naturals, for example, 73792 + ... + 74252.

It is an arithmetic number, because the mean of its divisors is an integer number (1564101).

Almost surely, 234124142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34124142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37538424).

34124142 is an abundant number, since it is smaller than the sum of its proper divisors (40952706).

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

34124142 is a wasteful number, since it uses less digits than its factorization.

34124142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 552 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 34124142 is about 5841.5872842918. The cubic root of 34124142 is about 324.3549873865.

Adding to 34124142 its reverse (24142143), we get a palindrome (58266285).

The spelling of 34124142 in words is "thirty-four million, one hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 73 78 146 169 219 338 438 461 507 922 949 1014 1383 1898 2766 2847 5694 5993 11986 12337 17979 24674 33653 35958 37011 67306 74022 77909 100959 155818 201918 233727 437489 467454 874978 1312467 2624934 5687357 11374714 17062071 34124142