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244430424 = 23327279877
BaseRepresentation
bin11101001000110…
…11011001011000
3122000221100111200
432210123121120
51000033233144
640130554200
76025424100
oct1644333130
9560840450
10244430424
11115a7a217
1269a38960
133b8425b4
142466a200
15166d3c69
hexe91b658

244430424 has 144 divisors (see below), whose sum is σ = 780717600. Its totient is φ = 68874624.

The previous prime is 244430419. The next prime is 244430491. The reversal of 244430424 is 424034442.

It is a happy number.

244430424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278274 + ... + 279150.

It is an arithmetic number, because the mean of its divisors is an integer number (5421650).

Almost surely, 2244430424 is an apocalyptic number.

244430424 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 244430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390358800).

244430424 is an abundant number, since it is smaller than the sum of its proper divisors (536287176).

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

244430424 is a wasteful number, since it uses less digits than its factorization.

244430424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 244430424 is about 15634.2708176621. The cubic root of 244430424 is about 625.2471973633.

Adding to 244430424 its reverse (424034442), we get a palindrome (668464866).

The spelling of 244430424 in words is "two hundred forty-four million, four hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 79 84 98 126 147 158 168 196 237 252 294 316 392 441 474 504 553 588 632 711 877 882 948 1106 1176 1422 1659 1754 1764 1896 2212 2631 2844 3318 3508 3528 3871 4424 4977 5262 5688 6139 6636 7016 7742 7893 9954 10524 11613 12278 13272 15484 15786 18417 19908 21048 23226 24556 30968 31572 34839 36834 39816 42973 46452 49112 55251 63144 69283 69678 73668 85946 92904 110502 128919 138566 139356 147336 171892 207849 221004 257838 277132 278712 343784 386757 415698 442008 484981 515676 554264 623547 773514 831396 969962 1031352 1247094 1454943 1547028 1662792 1939924 2494188 2909886 3094056 3394867 3879848 4364829 4988376 5819772 6789734 8729658 10184601 11639544 13579468 17459316 20369202 27158936 30553803 34918632 40738404 61107606 81476808 122215212 244430424