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6628840344 = 2332724214463
BaseRepresentation
bin1100010110001110…
…00001001110011000
3122002222022222110100
412023013001032120
5102033440342334
63013435015400
7323161133100
oct61307011630
918088288410
106628840344
1128a1897955
12134bb9a560
13818451849
1446c542200
1528be50c99
hex18b1c1398

6628840344 has 144 divisors (see below), whose sum is σ = 20938525920. Its totient is φ = 1889032320.

The previous prime is 6628840331. The next prime is 6628840349. The reversal of 6628840344 is 4430488266.

It is a self number, because there is not a number n which added to its sum of digits gives 6628840344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6628840349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1483057 + ... + 1487519.

It is an arithmetic number, because the mean of its divisors is an integer number (145406430).

Almost surely, 26628840344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6628840344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10469262960).

6628840344 is an abundant number, since it is smaller than the sum of its proper divisors (14309685576).

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

6628840344 is a wasteful number, since it uses less digits than its factorization.

6628840344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 6628840344 is about 81417.6906083684. The cubic root of 6628840344 is about 1878.5057108968.

The spelling of 6628840344 in words is "six billion, six hundred twenty-eight million, eight hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 421 441 504 588 842 882 1176 1263 1684 1764 2526 2947 3368 3528 3789 4463 5052 5894 7578 8841 8926 10104 11788 13389 15156 17682 17852 20629 23576 26523 26778 30312 31241 35364 35704 40167 41258 53046 53556 61887 62482 70728 80334 82516 93723 106092 107112 123774 124964 160668 165032 185661 187446 212184 218687 247548 249928 281169 321336 371322 374892 437374 495096 562338 656061 742644 749784 874748 1124676 1312122 1485288 1749496 1878923 1968183 2249352 2624244 3757846 3936366 5248488 5636769 7515692 7872732 11273538 13152461 15031384 15745464 16910307 22547076 26304922 33820614 39457383 45094152 52609844 67641228 78914766 92067227 105219688 118372149 135282456 157829532 184134454 236744298 276201681 315659064 368268908 473488596 552403362 736537816 828605043 946977192 1104806724 1657210086 2209613448 3314420172 6628840344