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34000819 is a prime number
BaseRepresentation
bin1000000110110…
…0111110110011
32100222102100121
42001230332303
532201011234
63212431111
7562000516
oct201547663
970872317
1034000819
1118213356
12b478497
137076038
144730d7d
152eb94b4
hex206cfb3

34000819 has 2 divisors, whose sum is σ = 34000820. Its totient is φ = 34000818.

The previous prime is 34000807. The next prime is 34000853. The reversal of 34000819 is 91800043.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34000819 - 213 = 33992627 is a prime.

It is a super-2 number, since 2×340008192 = 2312111385341522, which contains 22 as substring.

34000819 is a modest number, since divided by 819 gives 34 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 34000793 and 34000802.

It is not a weakly prime, because it can be changed into another prime (34000019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000409 + 17000410.

It is an arithmetic number, because the mean of its divisors is an integer number (17000410).

Almost surely, 234000819 is an apocalyptic number.

34000819 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000819 is an equidigital number, since it uses as much as digits as its factorization.

34000819 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 34000819 is about 5831.0221230930. The cubic root of 34000819 is about 323.9637813246.

The spelling of 34000819 in words is "thirty-four million, eight hundred nineteen", and thus it is an aban number.