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3244006320 = 243524675479
BaseRepresentation
bin1100000101011011…
…1001101110110000
322101002011121002020
43001112321232300
523120431200240
61253522151440
7143250412242
oct30126715660
98332147066
103244006320
11141517aa65
127664b2580
133c9108a89
1422aba2092
1513ebe20d0
hexc15b9bb0

3244006320 has 80 divisors (see below), whose sum is σ = 10062332160. Its totient is φ = 864559872.

The previous prime is 3244006243. The next prime is 3244006331. The reversal of 3244006320 is 236004423.

It is a happy number.

3244006320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589341 + ... + 594819.

It is an arithmetic number, because the mean of its divisors is an integer number (125779152).

Almost surely, 23244006320 is an apocalyptic number.

3244006320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3244006320 is an abundant number, since it is smaller than the sum of its proper divisors (6818325840).

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

3244006320 is a wasteful number, since it uses less digits than its factorization.

3244006320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7962 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3244006320 is about 56956.1789448695. The cubic root of 3244006320 is about 1480.3368967653.

The spelling of 3244006320 in words is "three billion, two hundred forty-four million, six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2467 4934 5479 7401 9868 10958 12335 14802 16437 19736 21916 24670 27395 29604 32874 37005 39472 43832 49340 54790 59208 65748 74010 82185 87664 98680 109580 118416 131496 148020 164370 197360 219160 262992 296040 328740 438320 592080 657480 1314960 13516693 27033386 40550079 54066772 67583465 81100158 108133544 135166930 162200316 202750395 216267088 270333860 324400632 405500790 540667720 648801264 811001580 1081335440 1622003160 3244006320