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331663024 = 24711299283
BaseRepresentation
bin10011110001001…
…100011010110000
3212010002020010201
4103301030122300
51134401204044
652524404544
711135042410
oct2361143260
9763066121
10331663024
11160240380
12930a6754
1353935a14
1432096640
151e1b57d4
hex13c4c6b0

331663024 has 80 divisors (see below), whose sum is σ = 828875520. Its totient is φ = 124750080.

The previous prime is 331663001. The next prime is 331663043. The reversal of 331663024 is 420366133.

It is a super-2 number, since 2×3316630242 = 220000722977649152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 331662983 and 331663001.

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, 31087 + ... + 40369.

It is an arithmetic number, because the mean of its divisors is an integer number (10360944).

Almost surely, 2331663024 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 331663024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414437760).

331663024 is an abundant number, since it is smaller than the sum of its proper divisors (497212496).

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

331663024 is a wasteful number, since it uses less digits than its factorization.

331663024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9338 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 331663024 is about 18211.6178303851. The cubic root of 331663024 is about 692.2012067078.

The spelling of 331663024 in words is "three hundred thirty-one million, six hundred sixty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 1232 1276 1624 2233 2552 3248 4466 5104 8932 9283 17864 18566 35728 37132 64981 74264 102113 129962 148528 204226 259924 269207 408452 519848 538414 714791 816904 1039696 1076828 1429582 1633808 1884449 2153656 2859164 2961277 3768898 4307312 5718328 5922554 7537796 11436656 11845108 15075592 20728939 23690216 30151184 41457878 47380432 82915756 165831512 331663024