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33034381 is a prime number
BaseRepresentation
bin111111000000…
…1000010001101
32022011022122121
41332001002031
531424100011
63140012541
7550534102
oct176010215
968138577
1033034381
1117713246
12b091151
136ac8193
14455caa9
152d77e71
hex1f8108d

33034381 has 2 divisors, whose sum is σ = 33034382. Its totient is φ = 33034380.

The previous prime is 33034357. The next prime is 33034409. The reversal of 33034381 is 18343033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32148900 + 885481 = 5670^2 + 941^2 .

It is an emirp because it is prime and its reverse (18343033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33034381 - 217 = 32903309 is a prime.

It is a super-2 number, since 2×330343812 = 2182540656106322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33034301) 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, 16517190 + 16517191.

It is an arithmetic number, because the mean of its divisors is an integer number (16517191).

Almost surely, 233034381 is an apocalyptic number.

It is an amenable number.

33034381 is a deficient number, since it is larger than the sum of its proper divisors (1).

33034381 is an equidigital number, since it uses as much as digits as its factorization.

33034381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 33034381 is about 5747.5543494603. The cubic root of 33034381 is about 320.8647864968.

The spelling of 33034381 in words is "thirty-three million, thirty-four thousand, three hundred eighty-one".