Search a number
-
+
34956365238 = 2331394657123
BaseRepresentation
bin100000100011100011…
…111100110110110110
310100020011120100022000
4200203203330312312
51033042312141423
624020404120130
72345152126164
oct404343746666
9110204510260
1034956365238
1113908a58653
126936996046
1333b11868b2
1419987cc234
15d98d11843
hex8238fcdb6

34956365238 has 32 divisors (see below), whose sum is σ = 78239683200. Its totient is φ = 11568291048.

The previous prime is 34956365231. The next prime is 34956365251. The reversal of 34956365238 is 83256365943.

34956365238 is a `hidden beast` number, since 3 + 49 + 5 + 6 + 365 + 238 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34956365231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2321056 + ... + 2336067.

It is an arithmetic number, because the mean of its divisors is an integer number (2444990100).

Almost surely, 234956365238 is an apocalyptic number.

34956365238 is an abundant number, since it is smaller than the sum of its proper divisors (43283317962).

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

34956365238 is a wasteful number, since it uses less digits than its factorization.

34956365238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657273 (or 4657267 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 34956365238 in words is "thirty-four billion, nine hundred fifty-six million, three hundred sixty-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 139 278 417 834 1251 2502 3753 7506 4657123 9314246 13971369 27942738 41914107 83828214 125742321 251484642 647340097 1294680194 1942020291 3884040582 5826060873 11652121746 17478182619 34956365238