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34354341 = 3372231129
BaseRepresentation
bin1000001100001…
…1010010100101
32101122101022000
42003003102211
532243314331
63224155513
7565002300
oct203032245
971571260
1034354341
1118434a1a
12b608b99
13716ac18
1447c3b37
1530390e6
hex20c34a5

34354341 has 48 divisors (see below), whose sum is σ = 61833600. Its totient is φ = 18760896.

The previous prime is 34354289. The next prime is 34354349. The reversal of 34354341 is 14345343.

It is not a de Polignac number, because 34354341 - 27 = 34354213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29865 + ... + 30993.

It is an arithmetic number, because the mean of its divisors is an integer number (1288200).

Almost surely, 234354341 is an apocalyptic number.

It is an amenable number.

34354341 is a deficient number, since it is larger than the sum of its proper divisors (27479259).

34354341 is a wasteful number, since it uses less digits than its factorization.

34354341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1162 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 34354341 is about 5861.2576295536. The cubic root of 34354341 is about 325.0827118871.

Adding to 34354341 its reverse (14345343), we get a palindrome (48699684).

It can be divided in two parts, 3435 and 4341, that added together give a 5-th power (7776 = 65).

The spelling of 34354341 in words is "thirty-four million, three hundred fifty-four thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 147 161 189 207 441 483 621 1127 1129 1323 1449 3381 3387 4347 7903 10143 10161 23709 25967 30429 30483 55321 71127 77901 165963 181769 213381 233703 497889 545307 701109 1272383 1493667 1635921 3817149 4907763 11451447 34354341