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34106744 = 2372167521
BaseRepresentation
bin1000001000011…
…0110101111000
32101011210122202
42002012311320
532212403434
63215005332
7562621400
oct202066570
971153582
1034106744
11182859a1
12b509848
1370b2309
14475b800
152edaa7e
hex2086d78

34106744 has 48 divisors (see below), whose sum is σ = 74980080. Its totient is φ = 14501760.

The previous prime is 34106741. The next prime is 34106771. The reversal of 34106744 is 44760143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106741) 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, 65204 + ... + 65724.

It is an arithmetic number, because the mean of its divisors is an integer number (1562085).

Almost surely, 234106744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37490040).

34106744 is an abundant number, since it is smaller than the sum of its proper divisors (40873336).

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

34106744 is a wasteful number, since it uses less digits than its factorization.

34106744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 34106744 is about 5840.0979443842. The cubic root of 34106744 is about 324.2998544997.

Adding to 34106744 its reverse (44760143), we get a palindrome (78866887).

The spelling of 34106744 in words is "thirty-four million, one hundred six thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 167 196 334 392 521 668 1042 1169 1336 2084 2338 3647 4168 4676 7294 8183 9352 14588 16366 25529 29176 32732 51058 65464 87007 102116 174014 204232 348028 609049 696056 1218098 2436196 4263343 4872392 8526686 17053372 34106744