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3244254390 = 2335133132953
BaseRepresentation
bin1100000101011111…
…0110010010110110
322101002122012101000
43001113312102312
523121012120030
61253531344130
7143252464416
oct30127662266
98332565330
103244254390
11141532a383
127665b2046
133c9194970
1422ac28646
1513ec40860
hexc15f64b6

3244254390 has 128 divisors (see below), whose sum is σ = 9349764480. Its totient is φ = 795764736.

The previous prime is 3244254379. The next prime is 3244254421. The reversal of 3244254390 is 934524423.

3244254390 is a `hidden beast` number, since 3 + 24 + 4 + 2 + 543 + 90 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1097154 + ... + 1100106.

It is an arithmetic number, because the mean of its divisors is an integer number (73045035).

Almost surely, 23244254390 is an apocalyptic number.

3244254390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3244254390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674882240).

3244254390 is an abundant number, since it is smaller than the sum of its proper divisors (6105510090).

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

3244254390 is a wasteful number, since it uses less digits than its factorization.

3244254390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3244254390 is about 56958.3566300855. The cubic root of 3244254390 is about 1480.3746297183.

The spelling of 3244254390 in words is "three billion, two hundred forty-four million, two hundred fifty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 313 351 390 585 626 702 939 1170 1565 1755 1878 2817 2953 3130 3510 4069 4695 5634 5906 8138 8451 8859 9390 12207 14085 14765 16902 17718 20345 24414 26577 28170 29530 36621 38389 40690 42255 44295 53154 61035 73242 76778 79731 84510 88590 109863 115167 122070 132885 159462 183105 191945 219726 230334 265770 345501 366210 383890 398655 549315 575835 691002 797310 924289 1036503 1098630 1151670 1727505 1848578 2073006 2772867 3455010 4621445 5182515 5545734 8318601 9242890 10365030 12015757 13864335 16637202 24031514 24955803 27728670 36047271 41593005 49911606 60078785 72094542 83186010 108141813 120157570 124779015 180236355 216283626 249558030 324425439 360472710 540709065 648850878 1081418130 1622127195 3244254390