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34212735 = 3254317681
BaseRepresentation
bin1000001010000…
…0101101111111
32101101012001100
42002200231333
532224301420
63221144143
7563542404
oct202405577
971335040
1034212735
1118348597
12b55b053
13711b62b
1447882ab
15300c190
hex20a0b7f

34212735 has 24 divisors (see below), whose sum is σ = 60684624. Its totient is φ = 17821440.

The previous prime is 34212733. The next prime is 34212751. The reversal of 34212735 is 53721243.

34212735 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 34212735 - 21 = 34212733 is a prime.

It is a super-2 number, since 2×342127352 = 2341022472360450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34212699 and 34212708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212733) 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 23 ways as a sum of consecutive naturals, for example, 6906 + ... + 10775.

It is an arithmetic number, because the mean of its divisors is an integer number (2528526).

Almost surely, 234212735 is an apocalyptic number.

34212735 is a deficient number, since it is larger than the sum of its proper divisors (26471889).

34212735 is a wasteful number, since it uses less digits than its factorization.

34212735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17735 (or 17732 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 34212735 is about 5849.1653250699. The cubic root of 34212735 is about 324.6354413191.

Adding to 34212735 its reverse (53721243), we get a palindrome (87933978).

The spelling of 34212735 in words is "thirty-four million, two hundred twelve thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 15 43 45 129 215 387 645 1935 17681 53043 88405 159129 265215 760283 795645 2280849 3801415 6842547 11404245 34212735