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33880393 is a prime number
BaseRepresentation
bin1000000100111…
…1100101001001
32100202022011101
42001033211021
532133133033
63210101401
7560656441
oct201174511
970668141
1033880393
1118140928
12b41a861
137033291
1446dd121
152e9397d
hex204f949

33880393 has 2 divisors, whose sum is σ = 33880394. Its totient is φ = 33880392.

The previous prime is 33880387. The next prime is 33880397. The reversal of 33880393 is 39308833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33039504 + 840889 = 5748^2 + 917^2 .

It is a cyclic number.

It is not a de Polignac number, because 33880393 - 217 = 33749321 is a prime.

It is a super-2 number, since 2×338803932 = 2295762059668898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33880397) 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 as a sum of consecutive naturals, namely, 16940196 + 16940197.

It is an arithmetic number, because the mean of its divisors is an integer number (16940197).

Almost surely, 233880393 is an apocalyptic number.

It is an amenable number.

33880393 is a deficient number, since it is larger than the sum of its proper divisors (1).

33880393 is an equidigital number, since it uses as much as digits as its factorization.

33880393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 33880393 is about 5820.6866433437. The cubic root of 33880393 is about 323.5808512013.

The spelling of 33880393 in words is "thirty-three million, eight hundred eighty thousand, three hundred ninety-three".