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330163232 = 2576173331
BaseRepresentation
bin10011101011011…
…110010000100000
3212000021000210212
4103223132100200
51134010210412
652432313252
711116225010
oct2353362040
9760230725
10330163232
1115a406583
12926a2828
135352c179
1431bc5c40
151debb222
hex13ade420

330163232 has 96 divisors (see below), whose sum is σ = 767700864. Its totient is φ = 136857600.

The previous prime is 330163219. The next prime is 330163259. The reversal of 330163232 is 232361033.

It is a junction number, because it is equal to n+sod(n) for n = 330163198 and 330163207.

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, 997307 + ... + 997637.

It is an arithmetic number, because the mean of its divisors is an integer number (7996884).

Almost surely, 2330163232 is an apocalyptic number.

330163232 is a gapful number since it is divisible by the number (32) 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 330163232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383850432).

330163232 is an abundant number, since it is smaller than the sum of its proper divisors (437537632).

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

330163232 is a wasteful number, since it uses less digits than its factorization.

330163232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 330163232 is about 18170.3943820711. The cubic root of 330163232 is about 691.1562438365.

The spelling of 330163232 in words is "three hundred thirty million, one hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 73 112 122 146 224 244 292 331 427 488 511 584 662 854 976 1022 1168 1324 1708 1952 2044 2317 2336 2648 3416 4088 4453 4634 5296 6832 8176 8906 9268 10592 13664 16352 17812 18536 20191 24163 31171 35624 37072 40382 48326 62342 71248 74144 80764 96652 124684 141337 142496 161528 169141 193304 249368 282674 323056 338282 386608 498736 565348 646112 676564 773216 997472 1130696 1353128 1473943 2261392 2706256 2947886 4522784 5412512 5895772 10317601 11791544 20635202 23583088 41270404 47166176 82540808 165081616 330163232