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34337429 = 731792003
BaseRepresentation
bin1000001011111…
…1001010010101
32101121112002122
42002333022111
532242244204
63223545325
7564602060
oct202771225
971545078
1034337429
1118423245
12b5bb245
137163309
1447bb8d7
1530340be
hex20bf295

34337429 has 16 divisors (see below), whose sum is σ = 41041920. Its totient is φ = 28108080.

The previous prime is 34337393. The next prime is 34337431. The reversal of 34337429 is 92473343.

It is a happy number.

34337429 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 34337429 - 212 = 34333333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34337489) 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, 16142 + ... + 18144.

It is an arithmetic number, because the mean of its divisors is an integer number (2565120).

Almost surely, 234337429 is an apocalyptic number.

It is an amenable number.

34337429 is a deficient number, since it is larger than the sum of its proper divisors (6704491).

34337429 is a wasteful number, since it uses less digits than its factorization.

34337429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120.

The product of its digits is 54432, while the sum is 35.

The square root of 34337429 is about 5859.8147581643. The cubic root of 34337429 is about 325.0293590834.

The spelling of 34337429 in words is "thirty-four million, three hundred thirty-seven thousand, four hundred twenty-nine".

Divisors: 1 7 31 79 217 553 2003 2449 14021 17143 62093 158237 434651 1107659 4905347 34337429