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3244422240 = 2532543151347
BaseRepresentation
bin1100000101100001…
…1111010001100000
322101002221201121200
43001120133101200
523121033002430
61253535121200
7143254063653
oct30130372140
98332851550
103244422240
1114154344a4
12766673200
133c9223197
1422ac6d89a
1513ec75460
hexc161f460

3244422240 has 288 divisors, whose sum is σ = 11436961536. Its totient is φ = 837043200.

The previous prime is 3244422217. The next prime is 3244422289. The reversal of 3244422240 is 422244423.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9349747 + ... + 9350093.

It is an arithmetic number, because the mean of its divisors is an integer number (39711672).

Almost surely, 23244422240 is an apocalyptic number.

3244422240 is a gapful number since it is divisible by the number (30) 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 3244422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718480768).

3244422240 is an abundant number, since it is smaller than the sum of its proper divisors (8192539296).

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

3244422240 is a wasteful number, since it uses less digits than its factorization.

3244422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 3244422240 is about 56959.8300559263. The cubic root of 3244422240 is about 1480.4001596312.

Adding to 3244422240 its reverse (422244423), we get a palindrome (3666666663).

The spelling of 3244422240 in words is "three billion, two hundred forty-four million, four hundred twenty-two thousand, two hundred forty".