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3342434121 = 321329985097
BaseRepresentation
bin1100011100111001…
…0111111101001001
322121221101020122100
43013032113331021
523321130342441
61311355544013
7145554135615
oct30716277511
98557336570
103342434121
111465798254
1279345b009
1341361ba90
14239ca4345
15148685cb6
hexc7397f49

3342434121 has 24 divisors (see below), whose sum is σ = 5378635080. Its totient is φ = 1985953536.

The previous prime is 3342434113. The next prime is 3342434131. The reversal of 3342434121 is 1214342433.

3342434121 is a `hidden beast` number, since 3 + 3 + 4 + 243 + 412 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201952521 + 3140481600 = 14211^2 + 56040^2 .

It is not a de Polignac number, because 3342434121 - 23 = 3342434113 is a prime.

It is a super-2 number, since 2×33424341212 = 22343731706450085282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3342434101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489156 + ... + 495941.

It is an arithmetic number, because the mean of its divisors is an integer number (224109795).

Almost surely, 23342434121 is an apocalyptic number.

It is an amenable number.

3342434121 is a deficient number, since it is larger than the sum of its proper divisors (2036200959).

3342434121 is a wasteful number, since it uses less digits than its factorization.

3342434121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985145 (or 985142 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3342434121 is about 57813.7883294288. The cubic root of 3342434121 is about 1495.1598239293.

Adding to 3342434121 its reverse (1214342433), we get a palindrome (4556776554).

The spelling of 3342434121 in words is "three billion, three hundred forty-two million, four hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 985097 2955291 8865873 12806261 28567813 38418783 85703439 115256349 257110317 371381569 1114144707 3342434121