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644124390 = 2357131713879
BaseRepresentation
bin100110011001001…
…000111011100110
31122220000220112220
4212121020323212
52304343440030
6143525453210
721650652450
oct4631107346
91586026486
10644124390
11300656208
1215b871206
13a35a77c0
14617912d0
153b836a10
hex26648ee6

644124390 has 128 divisors (see below), whose sum is σ = 2014709760. Its totient is φ = 127899648.

The previous prime is 644124353. The next prime is 644124409. The reversal of 644124390 is 93421446.

644124390 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 63 ways as a sum of consecutive naturals, for example, 39471 + ... + 53349.

It is an arithmetic number, because the mean of its divisors is an integer number (15739920).

Almost surely, 2644124390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644124390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007354880).

644124390 is an abundant number, since it is smaller than the sum of its proper divisors (1370585370).

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

644124390 is a wasteful number, since it uses less digits than its factorization.

644124390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13926.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 644124390 is about 25379.6057889007. The cubic root of 644124390 is about 863.6211071224.

The spelling of 644124390 in words is "six hundred forty-four million, one hundred twenty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 17 21 26 30 34 35 39 42 51 65 70 78 85 91 102 105 119 130 170 182 195 210 221 238 255 273 357 390 442 455 510 546 595 663 714 910 1105 1190 1326 1365 1547 1785 2210 2730 3094 3315 3570 4641 6630 7735 9282 13879 15470 23205 27758 41637 46410 69395 83274 97153 138790 180427 194306 208185 235943 291459 360854 416370 471886 485765 541281 582918 707829 902135 971530 1082562 1179715 1262989 1415658 1457295 1651601 1804270 2359430 2525978 2706405 2914590 3067259 3303202 3539145 3788967 4954803 5412810 6134518 6314945 7078290 7577934 8258005 9201777 9909606 12629890 15336295 16516010 18403554 18944835 21470813 24774015 30672590 37889670 42941626 46008885 49548030 64412439 92017770 107354065 128824878 214708130 322062195 644124390