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34239808 = 261015297
BaseRepresentation
bin1000001010011…
…1010101000000
32101102120012001
42002213111000
532231133213
63221513344
7564014341
oct202472500
971376161
1034239808
1118366969
12b572854
13712aa55
1447940c8
1530151dd
hex20a7540

34239808 has 28 divisors (see below), whose sum is σ = 68630292. Its totient is φ = 16947200.

The previous prime is 34239787. The next prime is 34239809. The reversal of 34239808 is 80893243.

It can be written as a sum of positive squares in 2 ways, for example, as 30824704 + 3415104 = 5552^2 + 1848^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34239809) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3816 + ... + 9112.

Almost surely, 234239808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34239808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34315146).

34239808 is an abundant number, since it is smaller than the sum of its proper divisors (34390484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34239808 is a wasteful number, since it uses less digits than its factorization.

34239808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 34239808 is about 5851.4791292459. The cubic root of 34239808 is about 324.7210482145.

It can be divided in two parts, 3423 and 9808, that added together give a palindrome (13231).

The spelling of 34239808 in words is "thirty-four million, two hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 5297 6464 10594 21188 42376 84752 169504 339008 534997 1069994 2139988 4279976 8559952 17119904 34239808