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512434332 = 22321719127347
BaseRepresentation
bin11110100010110…
…010000010011100
31022201020100202100
4132202302002130
52022140344312
6122503125100
715461422434
oct3642620234
91281210670
10512434332
1124328a553
12123743790
13822199a7
144c0b12c4
152eec25dc
hex1e8b209c

512434332 has 144 divisors (see below), whose sum is σ = 1459261440. Its totient is φ = 150667776.

The previous prime is 512434297. The next prime is 512434361. The reversal of 512434332 is 233434215.

It is a super-2 number, since 2×5124343322 = 525177889224572448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512434296 and 512434305.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1476583 + ... + 1476929.

It is an arithmetic number, because the mean of its divisors is an integer number (10133760).

Almost surely, 2512434332 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 512434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729630720).

512434332 is an abundant number, since it is smaller than the sum of its proper divisors (946827108).

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

512434332 is a wasteful number, since it uses less digits than its factorization.

512434332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 512434332 is about 22637.0124353900. The cubic root of 512434332 is about 800.2261506472.

Adding to 512434332 its reverse (233434215), we get a palindrome (745868547).

The spelling of 512434332 in words is "five hundred twelve million, four hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 127 153 171 204 228 254 306 323 342 347 381 508 612 646 684 694 762 969 1041 1143 1292 1388 1524 1938 2082 2159 2286 2413 2907 3123 3876 4164 4318 4572 4826 5814 5899 6246 6477 6593 7239 8636 9652 11628 11798 12492 12954 13186 14478 17697 19431 19779 21717 23596 25908 26372 28956 35394 38862 39558 41021 43434 44069 53091 59337 70788 77724 79116 82042 86868 88138 106182 112081 118674 123063 132207 164084 176276 212364 224162 237348 246126 264414 336243 369189 396621 448324 492252 528828 672486 738378 749173 793242 837311 1008729 1344972 1476756 1498346 1586484 1674622 2017458 2247519 2511933 2996692 3349244 4034916 4495038 5023866 6742557 7535799 8990076 10047732 13485114 14234287 15071598 26970228 28468574 30143196 42702861 56937148 85405722 128108583 170811444 256217166 512434332