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34024326 = 2372196091
BaseRepresentation
bin1000000111001…
…0101110000110
32101000121121020
42001302232012
532202234301
63213132010
7562126200
oct201625606
971017536
1034024326
1118229a86
12b48a006
13708394b
144739770
152ec1436
hex2072b86

34024326 has 48 divisors (see below), whose sum is σ = 83338560. Its totient is φ = 9208080.

The previous prime is 34024303. The next prime is 34024339. The reversal of 34024326 is 62342043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34024296 and 34024305.

It is a congruent number.

It is an unprimeable number.

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, 2541 + ... + 8631.

It is an arithmetic number, because the mean of its divisors is an integer number (1736220).

Almost surely, 234024326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34024326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41669280).

34024326 is an abundant number, since it is smaller than the sum of its proper divisors (49314234).

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

34024326 is a wasteful number, since it uses less digits than its factorization.

34024326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34024326 is about 5833.0374591631. The cubic root of 34024326 is about 324.0384232743.

Adding to 34024326 its reverse (62342043), we get a palindrome (96366369).

The spelling of 34024326 in words is "thirty-four million, twenty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 6091 12182 18273 36546 42637 85274 115729 127911 231458 255822 298459 347187 596918 694374 810103 895377 1620206 1790754 2430309 4860618 5670721 11341442 17012163 34024326