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34097029 is a prime number
BaseRepresentation
bin1000001000010…
…0011110000101
32101011022022221
42002010132011
532212101104
63214452341
7562551151
oct202043605
971138287
1034097029
111827966a
12b5040b1
1370aaa75
144758061
152ed7c54
hex2084785

34097029 has 2 divisors, whose sum is σ = 34097030. Its totient is φ = 34097028.

The previous prime is 34097009. The next prime is 34097047. The reversal of 34097029 is 92079043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19096900 + 15000129 = 4370^2 + 3873^2 .

It is a cyclic number.

It is not a de Polignac number, because 34097029 - 213 = 34088837 is a prime.

It is a super-3 number, since 3×340970293 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34096985 and 34097003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34097009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17048514 + 17048515.

It is an arithmetic number, because the mean of its divisors is an integer number (17048515).

Almost surely, 234097029 is an apocalyptic number.

It is an amenable number.

34097029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34097029 is an equidigital number, since it uses as much as digits as its factorization.

34097029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 34097029 is about 5839.2661353975. The cubic root of 34097029 is about 324.2690602744.

The spelling of 34097029 in words is "thirty-four million, ninety-seven thousand, twenty-nine".