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3244320 = 25335751

3244320 has 96 divisors (see below), whose sum is σ = 11370240. Its totient is φ = 864000.

The previous prime is 3244313. The next prime is 3244327. The reversal of 3244320 is 234423.

3244320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3244313) and next prime (3244327).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×32443202 = 21051224524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3244293 and 3244302.

It is not an unprimeable number, because it can be changed into a prime (3244327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3945 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (118440).

Almost surely, 23244320 is an apocalyptic number.

3244320 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 3244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685120).

3244320 is an abundant number, since it is smaller than the sum of its proper divisors (8125920).

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

3244320 is a wasteful number, since it uses less digits than its factorization.

3244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3244320 is about 1801.1996002664. The cubic root of 3244320 is about 148.0384609076.

Adding to 3244320 its reverse (234423), we get a palindrome (3478743).

The spelling of 3244320 in words is "three million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 751 864 1080 1440 1502 2160 2253 3004 3755 4320 4506 6008 6759 7510 9012 11265 12016 13518 15020 18024 20277 22530 24032 27036 30040 33795 36048 40554 45060 54072 60080 67590 72096 81108 90120 101385 108144 120160 135180 162216 180240 202770 216288 270360 324432 360480 405540 540720 648864 811080 1081440 1622160 3244320