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44034 = 2341179
BaseRepresentation
bin1010110000000010
32020101220
422300002
52402114
6535510
7242244
oct126002
966356
1044034
11300a1
1221596
1317073
1412094
15d0a9
hexac02

44034 has 16 divisors (see below), whose sum is σ = 90720. Its totient is φ = 14240.

The previous prime is 44029. The next prime is 44041. The reversal of 44034 is 43044.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44034.

It is an unprimeable number.

44034 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

244034 is an apocalyptic number.

44034 is an abundant number, since it is smaller than the sum of its proper divisors (46686).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

44034 is a wasteful number, since it uses less digits than its factorization.

44034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 44034 is about 209.8427983039. The cubic root of 44034 is about 35.3125743335.

Adding to 44034 its reverse (43044), we get a palindrome (87078).

Subtracting from 44034 its reverse (43044), we obtain a triangular number (990 = T44).

It can be divided in two parts, 440 and 34, that added together give a palindrome (474).

The spelling of 44034 in words is "forty-four thousand, thirty-four", and thus it is an eban number.

Divisors: 1 2 3 6 41 82 123 179 246 358 537 1074 7339 14678 22017 44034