Search a number
-
+
33427341 = 3241157577
BaseRepresentation
bin111111110000…
…0111110001101
32022220021200200
41333200332031
532024133331
63152244113
7554061543
oct177407615
968807620
1033427341
1117961502
12b240639
136c04cbc
144621d93
152e045e6
hex1fe0f8d

33427341 has 24 divisors (see below), whose sum is σ = 49862904. Its totient is φ = 21565440.

The previous prime is 33427313. The next prime is 33427351. The reversal of 33427341 is 14372433.

It can be written as a sum of positive squares in 4 ways, for example, as 4040100 + 29387241 = 2010^2 + 5421^2 .

It is not a de Polignac number, because 33427341 - 25 = 33427309 is a prime.

It is a super-2 number, since 2×334273412 = 2234774252660562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33427351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57645 + ... + 58221.

It is an arithmetic number, because the mean of its divisors is an integer number (2077621).

Almost surely, 233427341 is an apocalyptic number.

It is an amenable number.

33427341 is a deficient number, since it is larger than the sum of its proper divisors (16435563).

33427341 is a wasteful number, since it uses less digits than its factorization.

33427341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 778 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 33427341 is about 5781.6382626380. The cubic root of 33427341 is about 322.1320555789.

Adding to 33427341 its reverse (14372433), we get a palindrome (47799774).

The spelling of 33427341 in words is "thirty-three million, four hundred twenty-seven thousand, three hundred forty-one".

Divisors: 1 3 9 41 123 157 369 471 577 1413 1731 5193 6437 19311 23657 57933 70971 90589 212913 271767 815301 3714149 11142447 33427341