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244543104 = 2733135443
BaseRepresentation
bin11101001001101…
…10111010000000
3122001011002002000
432210312322000
51000100334404
640133224000
76026403441
oct1644667200
9561132060
10244543104
11116046943
1269a92000
133b881980
14246992c8
1516707339
hexe936e80

244543104 has 128 divisors (see below), whose sum is σ = 777403200. Its totient is φ = 75230208.

The previous prime is 244543081. The next prime is 244543183. The reversal of 244543104 is 401345442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 42207 + ... + 47649.

Almost surely, 2244543104 is an apocalyptic number.

244543104 is a gapful number since it is divisible by the number (24) 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 244543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388701600).

244543104 is an abundant number, since it is smaller than the sum of its proper divisors (532860096).

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

244543104 is a wasteful number, since it uses less digits than its factorization.

244543104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 244543104 is about 15637.8740243039. The cubic root of 244543104 is about 625.3432601881.

Adding to 244543104 its reverse (401345442), we get a palindrome (645888546).

The spelling of 244543104 in words is "two hundred forty-four million, five hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5443 5616 7488 10886 11232 14976 16329 21772 22464 32658 43544 44928 48987 65316 70759 87088 97974 130632 141518 146961 174176 195948 212277 261264 283036 293922 348352 391896 424554 522528 566072 587844 636831 696704 783792 849108 1045056 1132144 1175688 1273662 1567584 1698216 1910493 2090112 2264288 2351376 2547324 3135168 3396432 3820986 4528576 4702752 5094648 6270336 6792864 7641972 9057152 9405504 10189296 13585728 15283944 18811008 20378592 27171456 30567888 40757184 61135776 81514368 122271552 244543104