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34122037 is a prime number
BaseRepresentation
bin1000001000101…
…0100100110101
32101012120122011
42002022210311
532213401122
63215204221
7563014105
oct202124465
971176564
1034122037
1118296434
12b516671
1370b9271
144763205
152ee0377
hex208a935

34122037 has 2 divisors, whose sum is σ = 34122038. Its totient is φ = 34122036.

The previous prime is 34122031. The next prime is 34122059. The reversal of 34122037 is 73022143.

It is an a-pointer prime, because the next prime (34122059) can be obtained adding 34122037 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19307236 + 14814801 = 4394^2 + 3849^2 .

It is a cyclic number.

It is not a de Polignac number, because 34122037 - 211 = 34119989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34121999 and 34122017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34122031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061018 + 17061019.

It is an arithmetic number, because the mean of its divisors is an integer number (17061019).

Almost surely, 234122037 is an apocalyptic number.

It is an amenable number.

34122037 is a deficient number, since it is larger than the sum of its proper divisors (1).

34122037 is an equidigital number, since it uses as much as digits as its factorization.

34122037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 34122037 is about 5841.4071078808. The cubic root of 34122037 is about 324.3483178046.

The spelling of 34122037 in words is "thirty-four million, one hundred twenty-two thousand, thirty-seven".