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444012324 = 2237217431033
BaseRepresentation
bin11010011101110…
…001011100100100
31010221111011101220
4122131301130210
51402131343244
6112020420340
714001020400
oct3235613444
91127434356
10444012324
112086a7038
121048476b0
1370cb14b2
1442d80100
1528ea9319
hex1a771724

444012324 has 144 divisors (see below), whose sum is σ = 1307009088. Its totient is φ = 116508672.

The previous prime is 444012319. The next prime is 444012389. The reversal of 444012324 is 423210444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 444012294 and 444012303.

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, 429312 + ... + 430344.

It is an arithmetic number, because the mean of its divisors is an integer number (9076452).

Almost surely, 2444012324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444012324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653504544).

444012324 is an abundant number, since it is smaller than the sum of its proper divisors (862996764).

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

444012324 is a wasteful number, since it uses less digits than its factorization.

444012324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444012324 is about 21071.5999392547. The cubic root of 444012324 is about 762.8954209556.

Adding to 444012324 its reverse (423210444), we get a palindrome (867222768).

The spelling of 444012324 in words is "four hundred forty-four million, twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 49 51 68 84 86 98 102 119 129 147 172 196 204 238 258 294 301 357 476 516 588 602 714 731 833 903 1033 1204 1428 1462 1666 1806 2066 2107 2193 2499 2924 3099 3332 3612 4132 4214 4386 4998 5117 6198 6321 7231 8428 8772 9996 10234 12396 12642 14462 15351 17561 20468 21693 25284 28924 30702 35122 35819 43386 44419 50617 52683 61404 70244 71638 86772 88838 101234 105366 107457 122927 133257 143276 151851 177676 202468 210732 214914 245854 266514 303702 310933 368781 429828 491708 533028 607404 621866 737562 755123 860489 932799 1243732 1475124 1510246 1720978 1865598 2176531 2265369 2581467 3020492 3441956 3731196 4353062 4530738 5162934 5285861 6529593 8706124 9061476 10325868 10571722 13059186 15857583 21143444 26118372 31715166 37001027 63430332 74002054 111003081 148004108 222006162 444012324