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3244023120 = 2435131099539
BaseRepresentation
bin1100000101011011…
…1101110101010000
322101002012110010110
43001112331311100
523120432214440
61253522401320
7143250512232
oct30126756520
98332173113
103244023120
111415191648
12766500240
133c9113610
1422aba8252
1513ebe7080
hexc15bdd50

3244023120 has 160 divisors (see below), whose sum is σ = 10930550400. Its totient is φ = 791119872.

The previous prime is 3244023073. The next prime is 3244023163. The reversal of 3244023120 is 213204423.

3244023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335311 + ... + 344849.

It is an arithmetic number, because the mean of its divisors is an integer number (68315940).

Almost surely, 23244023120 is an apocalyptic number.

3244023120 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 3244023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465275200).

3244023120 is an abundant number, since it is smaller than the sum of its proper divisors (7686527280).

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

3244023120 is a wasteful number, since it uses less digits than its factorization.

3244023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9677 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3244023120 is about 56956.3264264822. The cubic root of 3244023120 is about 1480.3394522080.

Adding to 3244023120 its reverse (213204423), we get a palindrome (3457227543).

The spelling of 3244023120 in words is "three billion, two hundred forty-four million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 109 120 130 156 195 208 218 240 260 312 327 390 436 520 545 624 654 780 872 1040 1090 1308 1417 1560 1635 1744 2180 2616 2834 3120 3270 4251 4360 5232 5668 6540 7085 8502 8720 9539 11336 13080 14170 17004 19078 21255 22672 26160 28340 28617 34008 38156 42510 47695 56680 57234 68016 76312 85020 95390 113360 114468 124007 143085 152624 170040 190780 228936 248014 286170 340080 372021 381560 457872 496028 572340 620035 744042 763120 992056 1039751 1144680 1240070 1488084 1860105 1984112 2079502 2289360 2480140 2976168 3119253 3720210 4159004 4960280 5198755 5952336 6238506 7440420 8318008 9920560 10397510 12477012 13516763 14880840 15596265 16636016 20795020 24954024 27033526 29761680 31192530 40550289 41590040 49908048 54067052 62385060 67583815 81100578 83180080 108134104 124770120 135167630 162201156 202751445 216268208 249540240 270335260 324402312 405502890 540670520 648804624 811005780 1081341040 1622011560 3244023120