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34442226 = 23371343163
BaseRepresentation
bin1000001101100…
…0101111110010
32101210211212000
42003120233302
532304122401
63230114430
7565516440
oct203305762
971724760
1034442226
1118494a55
12b64ba16
13719bc20
144807b90
153055186
hex20d8bf2

34442226 has 128 divisors (see below), whose sum is σ = 96983040. Its totient is φ = 8817984.

The previous prime is 34442159. The next prime is 34442237. The reversal of 34442226 is 62224443.

34442226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34442226.

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 63 ways as a sum of consecutive naturals, for example, 211221 + ... + 211383.

It is an arithmetic number, because the mean of its divisors is an integer number (757680).

Almost surely, 234442226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34442226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48491520).

34442226 is an abundant number, since it is smaller than the sum of its proper divisors (62540814).

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

34442226 is a wasteful number, since it uses less digits than its factorization.

34442226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 34442226 is about 5868.7499520767. The cubic root of 34442226 is about 325.3596838353.

Adding to 34442226 its reverse (62224443), we get a palindrome (96666669).

The spelling of 34442226 in words is "thirty-four million, four hundred forty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 43 54 63 78 86 91 117 126 129 163 182 189 234 258 273 301 326 351 378 387 489 546 559 602 702 774 819 903 978 1118 1141 1161 1467 1638 1677 1806 2119 2282 2322 2457 2709 2934 3354 3423 3913 4238 4401 4914 5031 5418 6357 6846 7009 7826 8127 8802 10062 10269 11739 12714 14018 14833 15093 16254 19071 20538 21027 23478 29666 30186 30807 35217 38142 42054 44499 49063 57213 61614 63081 70434 88998 91117 98126 105651 114426 126162 133497 147189 182234 189243 211302 266994 273351 294378 378486 400491 441567 546702 637819 800982 820053 883134 1275638 1324701 1640106 1913457 2460159 2649402 3826914 4920318 5740371 11480742 17221113 34442226