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34142121 = 3313211461
BaseRepresentation
bin1000001000111…
…1011110101001
32101020121012000
42002033132221
532220021441
63215441213
7563126466
oct202173651
971217160
1034142121
11182aa532
12b526209
1370c5450
14476a66d
152ee62b6
hex208f7a9

34142121 has 32 divisors (see below), whose sum is σ = 54848640. Its totient is φ = 20865600.

The previous prime is 34142117. The next prime is 34142149. The reversal of 34142121 is 12124143.

34142121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34142121 - 22 = 34142117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34142094 and 34142103.

It is not an unprimeable number, because it can be changed into a prime (34142161) 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 in 31 ways as a sum of consecutive naturals, for example, 73831 + ... + 74291.

It is an arithmetic number, because the mean of its divisors is an integer number (1714020).

Almost surely, 234142121 is an apocalyptic number.

It is an amenable number.

34142121 is a deficient number, since it is larger than the sum of its proper divisors (20706519).

34142121 is a wasteful number, since it uses less digits than its factorization.

34142121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34142121 is about 5843.1259613327. The cubic root of 34142121 is about 324.4119417314.

Adding to 34142121 its reverse (12124143), we get a palindrome (46266264).

The spelling of 34142121 in words is "thirty-four million, one hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 211 351 461 633 1383 1899 2743 4149 5697 5993 8229 12447 17979 24687 53937 74061 97271 161811 291813 875439 1264523 2626317 3793569 11380707 34142121