Search a number
-
+
34052844 = 22372291997
BaseRepresentation
bin1000000111100…
…1101011101100
32101002001201110
42001321223230
532204142334
63213512020
7562305300
oct201715354
971061643
1034052844
1118249451
12b4a2610
137093917
144745d00
152ec9ae9
hex2079aec

34052844 has 72 divisors (see below), whose sum is σ = 95664240. Its totient is φ = 9389184.

The previous prime is 34052827. The next prime is 34052867. The reversal of 34052844 is 44825043.

34052844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16054 + ... + 18050.

It is an arithmetic number, because the mean of its divisors is an integer number (1328670).

Almost surely, 234052844 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 34052844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832120).

34052844 is an abundant number, since it is smaller than the sum of its proper divisors (61611396).

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

34052844 is a wasteful number, since it uses less digits than its factorization.

34052844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 34052844 is about 5835.4814711384. The cubic root of 34052844 is about 324.1289305499.

Adding to 34052844 its reverse (44825043), we get a palindrome (78877887).

The spelling of 34052844 in words is "thirty-four million, fifty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 1997 2436 2842 3994 4263 5684 5991 7988 8526 11982 13979 17052 23964 27958 41937 55916 57913 83874 97853 115826 167748 173739 195706 231652 293559 347478 391412 405391 587118 694956 810782 1174236 1216173 1621564 2432346 2837737 4864692 5675474 8513211 11350948 17026422 34052844