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243244980 = 2232511432857
BaseRepresentation
bin11100111111110…
…01111110110100
3121221201010101100
432133321332310
5444232314410
640045330100
76012356016
oct1637717664
9557633340
10243244980
1111533a610
1269566930
133b518b54
142443c1b6
151654c8c0
hexe7f9fb4

243244980 has 144 divisors (see below), whose sum is σ = 823927104. Its totient is φ = 57576960.

The previous prime is 243244957. The next prime is 243244997. The reversal of 243244980 is 89442342.

243244980 = 4682 + 4692 + ... + 9402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83712 + ... + 86568.

It is an arithmetic number, because the mean of its divisors is an integer number (5721716).

Almost surely, 2243244980 is an apocalyptic number.

243244980 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 243244980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411963552).

243244980 is an abundant number, since it is smaller than the sum of its proper divisors (580682124).

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

243244980 is a wasteful number, since it uses less digits than its factorization.

243244980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 243244980 is about 15596.3130258404. The cubic root of 243244980 is about 624.2347797498.

The spelling of 243244980 in words is "two hundred forty-three million, two hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 2857 3870 4257 4730 5676 5714 7095 7740 8514 8571 9460 11428 14190 14285 17028 17142 21285 25713 28380 28570 31427 34284 42570 42855 51426 57140 62854 85140 85710 94281 102852 122851 125708 128565 157135 171420 188562 245702 257130 282843 314270 368553 377124 471405 491404 514260 565686 614255 628540 737106 942810 1105659 1131372 1228510 1351361 1414215 1474212 1842765 1885620 2211318 2457020 2702722 2828430 3685530 4054083 4422636 5405444 5528295 5656860 6756805 7371060 8108166 11056590 12162249 13513610 16216332 20270415 22113180 24324498 27027220 40540830 48648996 60811245 81081660 121622490 243244980