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34027279 = 11131491597
BaseRepresentation
bin1000000111001…
…1011100001111
32101000202122121
42001303130033
532202333104
63213153411
7562140616
oct201633417
971022577
1034027279
1118231220
12b48b867
1370850b0
14473a87d
152ec2254
hex207370f

34027279 has 16 divisors (see below), whose sum is σ = 40269600. Its totient is φ = 28344960.

The previous prime is 34027211. The next prime is 34027283. The reversal of 34027279 is 97272043.

34027279 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34027279 - 211 = 34025231 is a prime.

It is a super-2 number, since 2×340272792 = 2315711432287682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34027289) 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 15 ways as a sum of consecutive naturals, for example, 20509 + ... + 22105.

It is an arithmetic number, because the mean of its divisors is an integer number (2516850).

Almost surely, 234027279 is an apocalyptic number.

34027279 is a deficient number, since it is larger than the sum of its proper divisors (6242321).

34027279 is a wasteful number, since it uses less digits than its factorization.

34027279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770.

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 34027279 is about 5833.2905807957. The cubic root of 34027279 is about 324.0477975260.

The spelling of 34027279 in words is "thirty-four million, twenty-seven thousand, two hundred seventy-nine".

Divisors: 1 11 13 143 149 1597 1639 1937 17567 20761 21307 228371 237953 2617483 3093389 34027279