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3444243232 = 25294917559
BaseRepresentation
bin1100110101001010…
…1111101100100000
322220000221200111011
43031102233230200
524023211240412
61325434030304
7151231404313
oct31522575440
98800850434
103444243232
111508204a11
12801578394
1342b746b61
1424960697a
151525967a7
hexcd4afb20

3444243232 has 48 divisors (see below), whose sum is σ = 7029892800. Its totient is φ = 1659132160.

The previous prime is 3444243193. The next prime is 3444243233. The reversal of 3444243232 is 2323424443.

It is a happy number.

3444243232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34442432322 = 23725622882355611648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3444243194 and 3444243203.

It is not an unprimeable number, because it can be changed into a prime (3444243233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451869 + ... + 459427.

It is an arithmetic number, because the mean of its divisors is an integer number (146456100).

Almost surely, 23444243232 is an apocalyptic number.

3444243232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514946400).

3444243232 is an abundant number, since it is smaller than the sum of its proper divisors (3585649568).

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

3444243232 is a wasteful number, since it uses less digits than its factorization.

3444243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8089 (or 8081 counting only the distinct ones).

The product of its digits is 55296, while the sum is 31.

The square root of 3444243232 is about 58687.6752989927. The cubic root of 3444243232 is about 1510.1888908913.

Adding to 3444243232 its reverse (2323424443), we get a palindrome (5767667675).

The spelling of 3444243232 in words is "three billion, four hundred forty-four million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 491 928 982 1964 3928 7559 7856 14239 15118 15712 28478 30236 56956 60472 113912 120944 219211 227824 241888 438422 455648 876844 1753688 3507376 3711469 7014752 7422938 14845876 29691752 59383504 107632601 118767008 215265202 430530404 861060808 1722121616 3444243232