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34042530 = 23523103479
BaseRepresentation
bin1000000111011…
…1001010100010
32101001112120110
42001313022202
532203330110
63213352150
7562233234
oct201671242
971045513
1034042530
1118241725
12b498656
13708c012
144742254
152ec6a20
hex20772a2

34042530 has 64 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 8581056.

The previous prime is 34042513. The next prime is 34042531. The reversal of 34042530 is 3524043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34042497 and 34042506.

It is not an unprimeable number, because it can be changed into a prime (34042531) 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 31 ways as a sum of consecutive naturals, for example, 70831 + ... + 71309.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 234042530 is an apocalyptic number.

34042530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34042530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43130880).

34042530 is an abundant number, since it is smaller than the sum of its proper divisors (52219230).

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

34042530 is a wasteful number, since it uses less digits than its factorization.

34042530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34042530 is about 5834.5976725049. The cubic root of 34042530 is about 324.0962029519.

Adding to 34042530 its reverse (3524043), we get a palindrome (37566573).

The spelling of 34042530 in words is "thirty-four million, forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 103 115 138 206 230 309 345 479 515 618 690 958 1030 1437 1545 2369 2395 2874 3090 4738 4790 7107 7185 11017 11845 14214 14370 22034 23690 33051 35535 49337 55085 66102 71070 98674 110170 148011 165255 246685 296022 330510 493370 740055 1134751 1480110 2269502 3404253 5673755 6808506 11347510 17021265 34042530