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665303424 = 27347191193
BaseRepresentation
bin100111101001111…
…011100110000000
31201100212220201120
4213221323212000
52330304202144
6150003432240
722325662062
oct4751734600
91640786646
10665303424
11311601345
12166985680
13a7ab1786
1464505732
153d61be19
hex27a7b980

665303424 has 128 divisors (see below), whose sum is σ = 1823662080. Its totient is φ = 214794240.

The previous prime is 665303417. The next prime is 665303459. The reversal of 665303424 is 424303566.

665303424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×6653034242 = 885257291972247552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3447072 + ... + 3447264.

It is an arithmetic number, because the mean of its divisors is an integer number (14247360).

Almost surely, 2665303424 is an apocalyptic number.

665303424 is a gapful number since it is divisible by the number (64) 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 665303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911831040).

665303424 is an abundant number, since it is smaller than the sum of its proper divisors (1158358656).

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

665303424 is a wasteful number, since it uses less digits than its factorization.

665303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 665303424 is about 25793.4763845434. The cubic root of 665303424 is about 872.9846073213.

The spelling of 665303424 in words is "six hundred sixty-five million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 191 192 193 282 376 382 384 386 564 573 579 752 764 772 1128 1146 1158 1504 1528 1544 2256 2292 2316 3008 3056 3088 4512 4584 4632 6016 6112 6176 8977 9024 9071 9168 9264 12224 12352 17954 18048 18142 18336 18528 24448 24704 26931 27213 35908 36284 36672 36863 37056 53862 54426 71816 72568 73344 73726 74112 107724 108852 110589 143632 145136 147452 215448 217704 221178 287264 290272 294904 430896 435408 442356 574528 580544 589808 861792 870816 884712 1149056 1161088 1179616 1723584 1732561 1741632 1769424 2359232 3447168 3465122 3483264 3538848 4718464 5197683 6930244 7077696 10395366 13860488 14155392 20790732 27720976 41581464 55441952 83162928 110883904 166325856 221767808 332651712 665303424