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34993349 is a prime number
BaseRepresentation
bin1000010101111…
…1010011000101
32102211211211222
42011133103011
532424241344
63250010125
7603303266
oct205372305
972754758
1034993349
1118831026
12b876945
137332a31
14490c96d
1531135ee
hex215f4c5

34993349 has 2 divisors, whose sum is σ = 34993350. Its totient is φ = 34993348.

The previous prime is 34993339. The next prime is 34993351. The reversal of 34993349 is 94339943.

It is a happy number.

34993349 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., 34304449 + 688900 = 5857^2 + 830^2 .

It is an emirp because it is prime and its reverse (94339943) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34993349 - 216 = 34927813 is a prime.

Together with 34993351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34993339) 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, 17496674 + 17496675.

It is an arithmetic number, because the mean of its divisors is an integer number (17496675).

Almost surely, 234993349 is an apocalyptic number.

It is an amenable number.

34993349 is a deficient number, since it is larger than the sum of its proper divisors (1).

34993349 is an equidigital number, since it uses as much as digits as its factorization.

34993349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 314928, while the sum is 44.

The square root of 34993349 is about 5915.5176442979. The cubic root of 34993349 is about 327.0859098377.

The spelling of 34993349 in words is "thirty-four million, nine hundred ninety-three thousand, three hundred forty-nine".