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244542240 = 2534518869
BaseRepresentation
bin11101001001101…
…10101100100000
3122001011000220000
432210312230200
51000100322430
640133220000
76026401065
oct1644665440
9561130800
10244542240
11116046228
1269a91600
133b881467
1424698c6c
1516706e60
hexe936b20

244542240 has 120 divisors (see below), whose sum is σ = 863076060. Its totient is φ = 65207808.

The previous prime is 244542203. The next prime is 244542253. The reversal of 244542240 is 42245442.

It can be written as a sum of positive squares in 2 ways, for example, as 229704336 + 14837904 = 15156^2 + 3852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3526 + ... + 22394.

Almost surely, 2244542240 is an apocalyptic number.

244542240 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 244542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431538030).

244542240 is an abundant number, since it is smaller than the sum of its proper divisors (618533820).

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

244542240 is a wasteful number, since it uses less digits than its factorization.

244542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18896 (or 18879 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 244542240 is about 15637.8463990410. The cubic root of 244542240 is about 625.3425237164.

Adding to 244542240 its reverse (42245442), we get a palindrome (286787682).

The spelling of 244542240 in words is "two hundred forty-four million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 18869 37738 56607 75476 94345 113214 150952 169821 188690 226428 283035 301904 339642 377380 452856 509463 566070 603808 679284 754760 849105 905712 1018926 1132140 1358568 1509520 1528389 1698210 1811424 2037852 2264280 2547315 2717136 3019040 3056778 3396420 4075704 4528560 5094630 5434272 6113556 6792840 7641945 8151408 9057120 10189260 12227112 13585680 15283890 16302816 20378520 24454224 27171360 30567780 40757040 48908448 61135560 81514080 122271120 244542240