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244291840 = 2851353277
BaseRepresentation
bin11101000111110…
…01100100000000
3122000200022101221
432203321210000
51000014314330
640124004424
76024306052
oct1643714400
9560608357
10244291840
11115995091
1269990714
133b7c44b0
14246318d2
15166a7b7a
hexe8f9900

244291840 has 144 divisors (see below), whose sum is σ = 644375088. Its totient is φ = 88178688.

The previous prime is 244291823. The next prime is 244291847. The reversal of 244291840 is 48192442.

It can be written as a sum of positive squares in 8 ways, for example, as 25725184 + 218566656 = 5072^2 + 14784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 244291796 and 244291805.

It is not an unprimeable number, because it can be changed into a prime (244291847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881782 + ... + 882058.

It is an arithmetic number, because the mean of its divisors is an integer number (4474827).

Almost surely, 2244291840 is an apocalyptic number.

244291840 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 244291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322187544).

244291840 is an abundant number, since it is smaller than the sum of its proper divisors (400083248).

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

244291840 is a wasteful number, since it uses less digits than its factorization.

244291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 244291840 is about 15629.8381309596. The cubic root of 244291840 is about 625.1290101684.

The spelling of 244291840 in words is "two hundred forty-four million, two hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 104 106 128 130 160 208 212 256 260 265 277 320 416 424 520 530 554 640 689 832 848 1040 1060 1108 1280 1378 1385 1664 1696 2080 2120 2216 2756 2770 3328 3392 3445 3601 4160 4240 4432 5512 5540 6784 6890 7202 8320 8480 8864 11024 11080 13568 13780 14404 14681 16640 16960 17728 18005 22048 22160 27560 28808 29362 33920 35456 36010 44096 44320 55120 57616 58724 67840 70912 72020 73405 88192 88640 110240 115232 117448 144040 146810 176384 177280 190853 220480 230464 234896 288080 293620 354560 381706 440960 460928 469792 576160 587240 763412 881920 921856 939584 954265 1152320 1174480 1526824 1879168 1908530 2304640 2348960 3053648 3758336 3817060 4609280 4697920 6107296 7634120 9395840 12214592 15268240 18791680 24429184 30536480 48858368 61072960 122145920 244291840