Search a number
-
+
33730245 = 3252333217
BaseRepresentation
bin1000000010101…
…0111011000101
32100110200012100
42000222323011
532113331440
63202542313
7556462623
oct200527305
970420170
1033730245
111804903a
12b367999
136cacb33
1446a0513
152e64230
hex202aec5

33730245 has 24 divisors (see below), whose sum is σ = 58734936. Its totient is φ = 17906688.

The previous prime is 33730243. The next prime is 33730253. The reversal of 33730245 is 54203733.

It can be written as a sum of positive squares in 4 ways, for example, as 5022081 + 28708164 = 2241^2 + 5358^2 .

It is not a de Polignac number, because 33730245 - 21 = 33730243 is a prime.

It is a super-3 number, since 3×337302453 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8877 + ... + 12093.

It is an arithmetic number, because the mean of its divisors is an integer number (2447289).

Almost surely, 233730245 is an apocalyptic number.

It is an amenable number.

33730245 is a deficient number, since it is larger than the sum of its proper divisors (25004691).

33730245 is a wasteful number, since it uses less digits than its factorization.

33730245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3458 counting only the distinct ones).

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

The square root of 33730245 is about 5807.7745307476. The cubic root of 33730245 is about 323.1021380765.

Adding to 33730245 its reverse (54203733), we get a palindrome (87933978).

The spelling of 33730245 in words is "thirty-three million, seven hundred thirty thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 233 699 1165 2097 3217 3495 9651 10485 16085 28953 48255 144765 749561 2248683 3747805 6746049 11243415 33730245