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989664324 = 22311219291237
BaseRepresentation
bin111010111111010…
…001010001000100
32112222020011020020
4322333101101010
54011323224244
6242111535140
733345002505
oct7277212104
92488204206
10989664324
11468704500
1223752a4b0
1312a05b8bc
149561abac
155bd3dd19
hex3afd1444

989664324 has 144 divisors (see below), whose sum is σ = 2766187200. Its totient is φ = 274095360.

The previous prime is 989664323. The next prime is 989664337. The reversal of 989664324 is 423466989.

989664324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (989664323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799434 + ... + 800670.

Almost surely, 2989664324 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 989664324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383093600).

989664324 is an abundant number, since it is smaller than the sum of its proper divisors (1776522876).

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

989664324 is a wasteful number, since it uses less digits than its factorization.

989664324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1301 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 989664324 is about 31458.9307510602. The cubic root of 989664324 is about 996.5428364602.

The spelling of 989664324 in words is "nine hundred eighty-nine million, six hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 57 58 66 76 87 114 116 121 132 174 209 228 242 319 348 363 418 484 551 627 638 726 836 957 1102 1237 1254 1276 1452 1653 1914 2204 2299 2474 2508 3306 3509 3711 3828 4598 4948 6061 6612 6897 7018 7422 9196 10527 12122 13607 13794 14036 14844 18183 21054 23503 24244 27214 27588 35873 36366 40821 42108 47006 54428 66671 70509 71746 72732 81642 94012 107619 133342 141018 143492 149677 163284 200013 215238 258533 266684 282036 299354 394603 400026 430476 449031 517066 598708 681587 775599 789206 800052 898062 1034132 1183809 1363174 1551198 1578412 1796124 2044761 2367618 2726348 2843863 3102396 4089522 4340633 4735236 5687726 7497457 8179044 8531589 8681266 11375452 13021899 14994914 17063178 17362532 22492371 26043798 29989828 34126356 44984742 52087596 82472027 89969484 164944054 247416081 329888108 494832162 989664324