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30323890332 = 223219478631093
BaseRepresentation
bin11100001111011100…
…011101100010011100
32220021022202020101100
4130033130131202130
5444100403442312
621533002113100
72122311546351
oct341734354234
986238666340
1030323890332
111195105569a
125a634ab790
132b23508c98
14167947a628
15bc72a65dc
hex70f71d89c

30323890332 has 144 divisors (see below), whose sum is σ = 82574069760. Its totient is φ = 9352796544.

The previous prime is 30323890291. The next prime is 30323890343. The reversal of 30323890332 is 23309832303.

30323890332 is a `hidden beast` number, since 3 + 0 + 3 + 238 + 90 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27743178 + ... + 27744270.

It is an arithmetic number, because the mean of its divisors is an integer number (573431040).

Almost surely, 230323890332 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 30323890332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41287034880).

30323890332 is an abundant number, since it is smaller than the sum of its proper divisors (52250179428).

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

30323890332 is a wasteful number, since it uses less digits than its factorization.

30323890332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 30323890332 in words is "thirty billion, three hundred twenty-three million, eight hundred ninety thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 564 684 846 863 893 1093 1692 1726 1786 2186 2589 2679 3279 3452 3572 4372 5178 5358 6558 7767 8037 9837 10356 10716 13116 15534 16074 16397 19674 20767 31068 32148 32794 39348 40561 41534 49191 51371 62301 65588 81122 83068 98382 102742 121683 124602 147573 154113 162244 186903 196764 205484 243366 249204 295146 308226 365049 373806 462339 486732 590292 616452 730098 747612 770659 924678 943259 976049 1460196 1541318 1849356 1886518 1952098 2311977 2829777 2928147 3082636 3773036 3904196 4623954 5659554 5856294 6935931 8489331 8784441 9247908 11319108 11712588 13871862 16978662 17568882 17921921 27743724 33957324 35137764 35843842 44333173 53765763 71687684 88666346 107531526 132999519 161297289 177332692 215063052 265999038 322594578 398998557 531998076 645189156 797997114 842330287 1595994228 1684660574 2526990861 3369321148 5053981722 7580972583 10107963444 15161945166 30323890332