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34238309 = 723312111
BaseRepresentation
bin1000001010011…
…0111101100101
32101102111010112
42002212331211
532231111214
63221502405
7564010100
oct202467545
971374115
1034238309
1118365826
12b571a05
13712a171
144793737
153014a3e
hex20a6f65

34238309 has 12 divisors (see below), whose sum is σ = 39967488. Its totient is φ = 29244600.

The previous prime is 34238297. The next prime is 34238327. The reversal of 34238309 is 90383243.

It is a happy number.

34238309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34238309 - 220 = 33189733 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34238339) 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 11 ways as a sum of consecutive naturals, for example, 15164 + ... + 17274.

It is an arithmetic number, because the mean of its divisors is an integer number (3330624).

Almost surely, 234238309 is an apocalyptic number.

It is an amenable number.

34238309 is a deficient number, since it is larger than the sum of its proper divisors (5729179).

34238309 is a wasteful number, since it uses less digits than its factorization.

34238309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 34238309 is about 5851.3510405717. The cubic root of 34238309 is about 324.7163094422.

The spelling of 34238309 in words is "thirty-four million, two hundred thirty-eight thousand, three hundred nine".

Divisors: 1 7 49 331 2111 2317 14777 16219 103439 698741 4891187 34238309