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34444060 = 225735021
BaseRepresentation
bin1000001101100…
…1001100011100
32101210221100221
42003121030130
532304202220
63230131124
7565525000
oct203311434
971727327
1034444060
1118496372
12b650aa4
13719ca01
144808700
1530559aa
hex20d931c

34444060 has 48 divisors (see below), whose sum is σ = 84369600. Its totient is φ = 11807040.

The previous prime is 34444037. The next prime is 34444063. The reversal of 34444060 is 6044443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4350 + ... + 9370.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 234444060 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 34444060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184800).

34444060 is an abundant number, since it is smaller than the sum of its proper divisors (49925540).

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

34444060 is a wasteful number, since it uses less digits than its factorization.

34444060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 34444060 is about 5868.9062013292. The cubic root of 34444060 is about 325.3654587144.

The spelling of 34444060 in words is "thirty-four million, four hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 5021 6860 10042 20084 25105 35147 50210 70294 100420 140588 175735 246029 351470 492058 702940 984116 1230145 1722203 2460290 3444406 4920580 6888812 8611015 17222030 34444060