Search a number
-
+
33730263 = 3471931101
BaseRepresentation
bin1000000010101…
…0111011010111
32100110200020000
42000222323113
532113332023
63202542343
7556462650
oct200527327
970420200
1033730263
1118049056
12b3679b3
136cacb48
1446a0527
152e64243
hex202aed7

33730263 has 80 divisors (see below), whose sum is σ = 63191040. Its totient is φ = 17496000.

The previous prime is 33730253. The next prime is 33730283. The reversal of 33730263 is 36203733.

33730263 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 33730263 - 25 = 33730231 is a prime.

It is a super-2 number, since 2×337302632 = 2275461284098338, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33730243) 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 79 ways as a sum of consecutive naturals, for example, 333913 + ... + 334013.

It is an arithmetic number, because the mean of its divisors is an integer number (789888).

Almost surely, 233730263 is an apocalyptic number.

33730263 is a deficient number, since it is larger than the sum of its proper divisors (29460777).

33730263 is a wasteful number, since it uses less digits than its factorization.

33730263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 33730263 is about 5807.7760803943. The cubic root of 33730263 is about 323.1021955505.

Adding to 33730263 its reverse (36203733), we get a palindrome (69933996).

The spelling of 33730263 in words is "thirty-three million, seven hundred thirty thousand, two hundred sixty-three".

Divisors: 1 3 7 9 19 21 27 31 57 63 81 93 101 133 171 189 217 279 303 399 513 567 589 651 707 837 909 1197 1539 1767 1919 1953 2121 2511 2727 3131 3591 4123 5301 5757 5859 6363 8181 9393 10773 12369 13433 15903 17271 17577 19089 21917 28179 37107 40299 47709 51813 57267 59489 65751 84537 111321 120897 155439 178467 197253 253611 333963 362691 416423 535401 591759 1088073 1249269 1606203 1775277 3747807 4818609 11243421 33730263