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3244213764 = 22321128632
BaseRepresentation
bin1100000101011110…
…1100011000000100
322101002120010122100
43001113230120010
523121004320024
61253530432100
7143252235111
oct30127543004
98332503570
103244213764
111415301900
12766592630
133c917c31c
1422ac17908
1513ec337c9
hexc15ec604

3244213764 has 81 divisors (see below), whose sum is σ = 9024396199. Its totient is φ = 981955920.

The previous prime is 3244213757. The next prime is 3244213859. The reversal of 3244213764 is 4673124423.

The square root of 3244213764 is 56958.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 3758797 + ... + 3759659.

Almost surely, 23244213764 is an apocalyptic number.

3244213764 is the 56958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3244213764

3244213764 is an abundant number, since it is smaller than the sum of its proper divisors (5780182435).

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

3244213764 is a wasteful number, since it uses less digits than its factorization.

3244213764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 879 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The cubic root of 3244213764 is about 1480.3684503888.

Multiplying 3244213764 by its sum of digits (36), we get a square (116791695504 = 3417482).

3244213764 divided by its sum of digits (36) gives a square (90117049 = 94932).

The spelling of 3244213764 in words is "three billion, two hundred forty-four million, two hundred thirteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 863 1089 1452 1726 2178 2589 3452 4356 5178 7767 9493 10356 15534 18986 28479 31068 37972 56958 85437 104423 113916 170874 208846 313269 341748 417692 626538 744769 939807 1253076 1489538 1879614 2234307 2979076 3759228 4468614 6702921 8192459 8937228 13405842 16384918 24577377 26811684 32769836 49154754 73732131 90117049 98309508 147464262 180234098 270351147 294928524 360468196 540702294 811053441 1081404588 1622106882 3244213764