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34331221 is a prime number
BaseRepresentation
bin1000001011110…
…1101001010101
32101121012120201
42002331221111
532242044341
63223500501
7564545011
oct202755125
971535521
1034331221
1118419611
12b5b7731
137160542
1447b9541
153032331
hex20bda55

34331221 has 2 divisors, whose sum is σ = 34331222. Its totient is φ = 34331220.

The previous prime is 34331191. The next prime is 34331237. The reversal of 34331221 is 12213343.

34331221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30371121 + 3960100 = 5511^2 + 1990^2 .

It is a cyclic number.

It is not a de Polignac number, because 34331221 - 25 = 34331189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34331261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17165610 + 17165611.

It is an arithmetic number, because the mean of its divisors is an integer number (17165611).

Almost surely, 234331221 is an apocalyptic number.

It is an amenable number.

34331221 is a deficient number, since it is larger than the sum of its proper divisors (1).

34331221 is an equidigital number, since it uses as much as digits as its factorization.

34331221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 19.

The square root of 34331221 is about 5859.2850246425. The cubic root of 34331221 is about 325.0097701205.

Adding to 34331221 its reverse (12213343), we get a palindrome (46544564).

The spelling of 34331221 in words is "thirty-four million, three hundred thirty-one thousand, two hundred twenty-one".