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34538238 = 2347219229
BaseRepresentation
bin1000001111000…
…0001011111110
32101222201120000
42003300023332
532320210423
63232135130
7566366400
oct203601376
971881500
1034538238
11185500a9
12b6974a6
137203837
144830b70
153073843
hex20f02fe

34538238 has 120 divisors (see below), whose sum is σ = 95178600. Its totient is φ = 9307872.

The previous prime is 34538221. The next prime is 34538267. The reversal of 34538238 is 83283543.

34538238 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 59 ways as a sum of consecutive naturals, for example, 150708 + ... + 150936.

It is an arithmetic number, because the mean of its divisors is an integer number (793155).

Almost surely, 234538238 is an apocalyptic number.

34538238 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34538238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47589300).

34538238 is an abundant number, since it is smaller than the sum of its proper divisors (60640362).

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

34538238 is a wasteful number, since it uses less digits than its factorization.

34538238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 34538238 is about 5876.9241955295. The cubic root of 34538238 is about 325.6617302422.

It can be divided in two parts, 345 and 38238, that added together give a palindrome (38583).

The spelling of 34538238 in words is "thirty-four million, five hundred thirty-eight thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 81 98 114 126 133 147 162 171 189 229 266 294 342 378 399 441 458 513 567 687 798 882 931 1026 1134 1197 1323 1374 1539 1603 1862 2061 2394 2646 2793 3078 3206 3591 3969 4122 4351 4809 5586 6183 7182 7938 8379 8702 9618 10773 11221 12366 13053 14427 16758 18549 21546 22442 25137 26106 28854 30457 33663 37098 39159 43281 50274 60914 67326 75411 78318 86562 91371 100989 117477 129843 150822 182742 201978 213199 234954 259686 274113 302967 352431 426398 548226 605934 639597 704862 822339 908901 1279194 1644678 1817802 1918791 2467017 3837582 4934034 5756373 11512746 17269119 34538238