Search a number
-
+
33104214 = 23411131429
BaseRepresentation
bin111111001001…
…0000101010110
32022021212110000
41332102011112
531433313324
63141312130
7551244513
oct176220526
968255400
1033104214
1117760760
12b105646
136b20bc0
14457a30a
152d8d9c9
hex1f92156

33104214 has 80 divisors (see below), whose sum is σ = 87207120. Its totient is φ = 9253440.

The previous prime is 33104207. The next prime is 33104237. The reversal of 33104214 is 41240133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 22452 + ... + 23880.

It is an arithmetic number, because the mean of its divisors is an integer number (1090089).

Almost surely, 233104214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33104214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43603560).

33104214 is an abundant number, since it is smaller than the sum of its proper divisors (54102906).

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

33104214 is a wasteful number, since it uses less digits than its factorization.

33104214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33104214 is about 5753.6261609528. The cubic root of 33104214 is about 321.0907246398.

Adding to 33104214 its reverse (41240133), we get a palindrome (74344347).

The spelling of 33104214 in words is "thirty-three million, one hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1429 1782 2106 2574 2858 3861 4287 7722 8574 11583 12861 15719 18577 23166 25722 31438 37154 38583 47157 55731 77166 94314 111462 115749 141471 167193 204347 231498 282942 334386 408694 424413 501579 613041 848826 1003158 1226082 1273239 1504737 1839123 2546478 3009474 3678246 5517369 11034738 16552107 33104214