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3244403340 = 22325611931531
BaseRepresentation
bin1100000101100001…
…1010101010001100
322101002220202200200
43001120122222030
523121031401330
61253534453500
7143253654603
oct30130325214
98332822620
103244403340
111415421282
12766664290
133c92176b9
1422ac66a3a
1513ec6ea60
hexc161aa8c

3244403340 has 144 divisors (see below), whose sum is σ = 10061085216. Its totient is φ = 846028800.

The previous prime is 3244403339. The next prime is 3244403347. The reversal of 3244403340 is 433044423.

3244403340 is a `hidden beast` number, since 324 + 4 + 4 + 0 + 334 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3244403347) by changing a digit.

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, 2118375 + ... + 2119905.

Almost surely, 23244403340 is an apocalyptic number.

3244403340 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 3244403340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030542608).

3244403340 is an abundant number, since it is smaller than the sum of its proper divisors (6816681876).

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

3244403340 is a wasteful number, since it uses less digits than its factorization.

3244403340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3244403340 is about 56959.6641492908. The cubic root of 3244403340 is about 1480.3972849933.

Adding to 3244403340 its reverse (433044423), we get a palindrome (3677447763).

The spelling of 3244403340 in words is "three billion, two hundred forty-four million, four hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 193 244 305 366 386 549 579 610 732 772 915 965 1098 1158 1220 1531 1737 1830 1930 2196 2316 2745 2895 3062 3474 3660 3860 4593 5490 5790 6124 6948 7655 8685 9186 10980 11580 11773 13779 15310 17370 18372 22965 23546 27558 30620 34740 35319 45930 47092 55116 58865 68895 70638 91860 93391 105957 117730 137790 141276 176595 186782 211914 235460 275580 280173 295483 353190 373564 423828 466955 529785 560346 590966 706380 840519 886449 933910 1059570 1120692 1181932 1400865 1477415 1681038 1772898 1867820 2119140 2659347 2801730 2954830 3362076 3545796 4202595 4432245 5318694 5603460 5909660 8405190 8864490 10637388 13296735 16810380 17728980 18024463 26593470 36048926 53186940 54073389 72097852 90122315 108146778 162220167 180244630 216293556 270366945 324440334 360489260 540733890 648880668 811100835 1081467780 1622201670 3244403340