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3434323221 = 3272174111173
BaseRepresentation
bin1100110010110011…
…1001110100010101
322212100021200210100
43030230321310111
524013141320341
61324441244313
7151051160100
oct31454716425
98770250710
103434323221
11150264995a
127ba193699
13429682824
14248183737
151517873b6
hexccb39d15

3434323221 has 72 divisors (see below), whose sum is σ = 6259630104. Its totient is φ = 1801820160.

The previous prime is 3434323219. The next prime is 3434323267. The reversal of 3434323221 is 1223234343.

3434323221 is a `hidden beast` number, since 3 + 4 + 3 + 432 + 3 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 197964900 + 3236358321 = 14070^2 + 56889^2 .

It is not a de Polignac number, because 3434323221 - 21 = 3434323219 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434323021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301791 + ... + 312963.

It is an arithmetic number, because the mean of its divisors is an integer number (86939307).

Almost surely, 23434323221 is an apocalyptic number.

It is an amenable number.

3434323221 is a deficient number, since it is larger than the sum of its proper divisors (2825306883).

3434323221 is a wasteful number, since it uses less digits than its factorization.

3434323221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11251 (or 11241 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 3434323221 is about 58603.0990733425. The cubic root of 3434323221 is about 1508.7376290649.

Adding to 3434323221 its reverse (1223234343), we get a palindrome (4657557564).

The spelling of 3434323221 in words is "three billion, four hundred thirty-four million, three hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 41 49 51 63 119 123 147 153 287 357 369 441 697 833 861 1071 2009 2091 2499 2583 4879 6027 6273 7497 11173 14637 18081 33519 34153 43911 78211 100557 102459 189941 234633 307377 458093 547477 569823 703899 1329587 1374279 1642431 1709469 3206651 3988761 4122837 4927293 7787581 9307109 9619953 11966283 22446557 23362743 27921327 28859859 54513067 67339671 70088229 83763981 163539201 202019013 381591469 490617603 1144774407 3434323221