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34013827 is a prime number
BaseRepresentation
bin1000000111000…
…0001010000011
32101000002012101
42001300022003
532201420302
63213011231
7562053451
oct201601203
971002171
1034013827
1118222101
12b483b17
13707bc33
1447359d1
152ebd287
hex2070283

34013827 has 2 divisors, whose sum is σ = 34013828. Its totient is φ = 34013826.

The previous prime is 34013813. The next prime is 34013831. The reversal of 34013827 is 72831043.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34013827 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34013795 and 34013804.

It is not a weakly prime, because it can be changed into another prime (34013327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006913 + 17006914.

It is an arithmetic number, because the mean of its divisors is an integer number (17006914).

Almost surely, 234013827 is an apocalyptic number.

34013827 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013827 is an equidigital number, since it uses as much as digits as its factorization.

34013827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 34013827 is about 5832.1374297936. The cubic root of 34013827 is about 324.0050899724.

The spelling of 34013827 in words is "thirty-four million, thirteen thousand, eight hundred twenty-seven".