Search a number
-
+
34073235 = 3257234703
BaseRepresentation
bin1000000111111…
…0101010010011
32101010002200200
42001332222103
532210320420
63214150243
7562421610
oct201765223
971102620
1034073235
11182627a9
12b4b2383
13709cca1
14474d507
152ed0b90
hex207ea93

34073235 has 48 divisors (see below), whose sum is σ = 70447104. Its totient is φ = 14895936.

The previous prime is 34073233. The next prime is 34073257. The reversal of 34073235 is 53237043.

34073235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34073235 - 21 = 34073233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34073199 and 34073208.

It is not an unprimeable number, because it can be changed into a prime (34073233) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4894 + ... + 9596.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 234073235 is an apocalyptic number.

34073235 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34073235 is an abundant number, since it is smaller than the sum of its proper divisors (36373869).

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

34073235 is a wasteful number, since it uses less digits than its factorization.

34073235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 34073235 is about 5837.2283662711. The cubic root of 34073235 is about 324.1936142733.

The spelling of 34073235 in words is "thirty-four million, seventy-three thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 4703 7245 14109 23515 32921 42327 70545 98763 108169 164605 211635 296289 324507 493815 540845 757183 973521 1481445 1622535 2271549 3785915 4867605 6814647 11357745 34073235