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3301144 = 2371123233
BaseRepresentation
bin1100100101111100011000
320012201022121
430211330120
51321114034
6154431024
740026220
oct14457430
96181277
103301144
111955220
121132474
138b7752
1461d080
154531b4
hex325f18

3301144 has 64 divisors (see below), whose sum is σ = 8087040. Its totient is φ = 1224960.

The previous prime is 3301093. The next prime is 3301147. The reversal of 3301144 is 4411033.

3301144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301147) 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, 14052 + ... + 14284.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

Almost surely, 23301144 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 3301144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043520).

3301144 is an abundant number, since it is smaller than the sum of its proper divisors (4785896).

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

3301144 is a wasteful number, since it uses less digits than its factorization.

3301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3301144 is about 1816.9050608108. The cubic root of 3301144 is about 148.8977572830.

Adding to 3301144 its reverse (4411033), we get a palindrome (7712177).

The spelling of 3301144 in words is "three million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 233 253 308 322 466 506 616 644 932 1012 1288 1631 1771 1864 2024 2563 3262 3542 5126 5359 6524 7084 10252 10718 13048 14168 17941 20504 21436 35882 37513 42872 58949 71764 75026 117898 143528 150052 235796 300104 412643 471592 825286 1650572 3301144