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244314980 = 2257213127151
BaseRepresentation
bin11101000111111…
…11001101100100
3122000201111010222
432203333031210
51000021034410
640124303512
76024433400
oct1643771544
9560644128
10244314980
11115a00508
12699a1b98
133b801ba0
142463a100
15166ae955
hexe8ff364

244314980 has 144 divisors (see below), whose sum is σ = 652087296. Its totient is φ = 76204800.

The previous prime is 244314979. The next prime is 244315021. The reversal of 244314980 is 89413442.

244314980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 244314980.

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 47 ways as a sum of consecutive naturals, for example, 1617905 + ... + 1618055.

It is an arithmetic number, because the mean of its divisors is an integer number (4528384).

Almost surely, 2244314980 is an apocalyptic number.

244314980 is a gapful number since it is divisible by the number (20) 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 244314980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326043648).

244314980 is an abundant number, since it is smaller than the sum of its proper divisors (407772316).

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

244314980 is a wasteful number, since it uses less digits than its factorization.

244314980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 244314980 is about 15630.5783642193. The cubic root of 244314980 is about 625.1487475292.

The spelling of 244314980 in words is "two hundred forty-four million, three hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 127 130 140 151 182 196 245 254 260 302 364 455 490 508 604 635 637 755 889 910 980 1057 1270 1274 1510 1651 1778 1820 1963 2114 2540 2548 3020 3185 3302 3556 3926 4228 4445 5285 6223 6370 6604 7399 7852 8255 8890 9815 10570 11557 12446 12740 13741 14798 16510 17780 19177 19630 21140 23114 24892 27482 29596 31115 33020 36995 38354 39260 46228 54964 57785 62230 68705 73990 76708 80899 95885 96187 115570 124460 134239 137410 147980 161798 191770 192374 231140 249301 268478 274820 323596 383540 384748 404495 480935 498602 536956 671195 808990 939673 961870 997204 1246505 1342390 1617980 1745107 1879346 1923740 2493010 2684780 3490214 3758692 4698365 4986020 6980428 8725535 9396730 12215749 17451070 18793460 24431498 34902140 48862996 61078745 122157490 244314980