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33824041 is a prime number
BaseRepresentation
bin1000000100000…
…1110100101001
32100122102212021
42001001310221
532124332131
63204544441
7560333236
oct201016451
970572767
1033824041
1118102559
12b3b2121
137013734
1446c678d
152e81e11
hex2041d29

33824041 has 2 divisors, whose sum is σ = 33824042. Its totient is φ = 33824040.

The previous prime is 33823981. The next prime is 33824059. The reversal of 33824041 is 14042833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33640000 + 184041 = 5800^2 + 429^2 .

It is a cyclic number.

It is not a de Polignac number, because 33824041 - 27 = 33823913 is a prime.

It is a super-2 number, since 2×338240412 = 2288131499139362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33823997 and 33824015.

It is not a weakly prime, because it can be changed into another prime (33824071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16912020 + 16912021.

It is an arithmetic number, because the mean of its divisors is an integer number (16912021).

Almost surely, 233824041 is an apocalyptic number.

It is an amenable number.

33824041 is a deficient number, since it is larger than the sum of its proper divisors (1).

33824041 is an equidigital number, since it uses as much as digits as its factorization.

33824041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 33824041 is about 5815.8439628312. The cubic root of 33824041 is about 323.4013516401.

Adding to 33824041 its reverse (14042833), we get a palindrome (47866874).

The spelling of 33824041 in words is "thirty-three million, eight hundred twenty-four thousand, forty-one".