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34335681 = 329563701
BaseRepresentation
bin1000001011111…
…0101111000001
32101121102200220
42002332233001
532242220211
63223533253
7564564012
oct202765701
971542626
1034335681
11184219a6
12b5ba229
137162593
1447bb009
153033806
hex20bebc1

34335681 has 16 divisors (see below), whose sum is σ = 47511360. Its totient is φ = 22030400.

The previous prime is 34335677. The next prime is 34335727. The reversal of 34335681 is 18653343.

34335681 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 34335681 - 22 = 34335677 is a prime.

It is a super-2 number, since 2×343356812 = 2357877979467522, which contains 22 as substring.

Its product of digits (25920) is a multiple of the sum of its prime divisors (1296).

It is not an unprimeable number, because it can be changed into a prime (34335611) 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, 48631 + ... + 49331.

It is an arithmetic number, because the mean of its divisors is an integer number (2969460).

Almost surely, 234335681 is an apocalyptic number.

It is an amenable number.

34335681 is a deficient number, since it is larger than the sum of its proper divisors (13175679).

34335681 is a wasteful number, since it uses less digits than its factorization.

34335681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296.

The product of its digits is 25920, while the sum is 33.

The square root of 34335681 is about 5859.6656047935. The cubic root of 34335681 is about 325.0238436156.

The spelling of 34335681 in words is "thirty-four million, three hundred thirty-five thousand, six hundred eighty-one".

Divisors: 1 3 29 87 563 701 1689 2103 16327 20329 48981 60987 394663 1183989 11445227 34335681