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3444112224 = 25347832287
BaseRepresentation
bin1100110101001000…
…1111101101100000
322220000201000210000
43031102033231200
524023143042344
61325431140000
7151230320340
oct31522175540
98800630700
103444112224
111508125543
12801514600
1342b6cc337
142495b0d20
1515256ca69
hexcd48fb60

3444112224 has 240 divisors, whose sum is σ = 11720636928. Its totient is φ = 971751168.

The previous prime is 3444112193. The next prime is 3444112237. The reversal of 3444112224 is 4222114443.

3444112224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1504809 + ... + 1507095.

Almost surely, 23444112224 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 3444112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860318464).

3444112224 is an abundant number, since it is smaller than the sum of its proper divisors (8276524704).

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

3444112224 is a wasteful number, since it uses less digits than its factorization.

3444112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2382 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3444112224 is about 58686.5591426180. The cubic root of 3444112224 is about 1510.1697430630.

Adding to 3444112224 its reverse (4222114443), we get a palindrome (7666226667).

It can be divided in two parts, 34441 and 12224, that added together give a triangular number (46665 = T305).

The spelling of 3444112224 in words is "three billion, four hundred forty-four million, one hundred twelve thousand, two hundred twenty-four".