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320846343489 = 31472372
BaseRepresentation
bin1001010101100111110…
…11101010110101000001
31010200011100000000000000
410222303323222311001
520224043130442424
6403221134350213
732115604631100
oct4526373526501
91120140000000
10320846343489
1111408543a751
125222295b369
13243429643b9
14117599b8037
15852c8a83c9
hex4ab3eead41

320846343489 has 135 divisors (see below), whose sum is σ = 575383956147. Its totient is φ = 178385611824.

The previous prime is 320846343479. The next prime is 320846343523. The reversal of 320846343489 is 984343648023.

The square root of 320846343489 is 566433.

It is a perfect power (a square), and thus also a powerful number.

320846343489 is a `hidden beast` number, since 3 + 20 + 84 + 63 + 4 + 3 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 287097714225 + 33748629264 = 535815^2 + 183708^2 .

It is not a de Polignac number, because 320846343489 - 227 = 320712125761 is a prime.

It is a super-2 number, since 2×3208463434892 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320846343409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8671522779 + ... + 8671522815.

Almost surely, 2320846343489 is an apocalyptic number.

320846343489 is the 566433-rd square number.

320846343489 is the 283217-th centered octagonal number.

It is an amenable number.

320846343489 is a deficient number, since it is larger than the sum of its proper divisors (254537612658).

320846343489 is an frugal number, since it uses more digits than its factorization.

320846343489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 320846343489 in words is "three hundred twenty billion, eight hundred forty-six million, three hundred forty-three thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 21 27 37 49 63 81 111 147 189 243 259 333 441 567 729 777 999 1323 1369 1701 1813 2187 2331 2997 3969 4107 5103 5439 6561 6993 8991 9583 11907 12321 15309 16317 19683 20979 26973 28749 35721 36963 45927 48951 59049 62937 67081 80919 86247 107163 110889 137781 146853 177147 188811 201243 242757 258741 321489 332667 413343 440559 531441 566433 603729 728271 776223 964467 998001 1240029 1321677 1594323 1699299 1811187 2184813 2328669 2893401 2994003 3720087 3965031 4782969 5097897 5433561 6554439 6986007 8680203 8982009 11160261 11895093 15293691 16300683 19663317 20958021 26040609 26946027 33480783 35685279 45881073 48902049 58989951 62874063 78121827 80838081 107055837 137643219 146706147 176969853 188622189 234365481 242514243 321167511 412929657 440118441 565866567 727542729 963502533 1238788971 1320355323 1697599701 2182628187 2890507599 3961065969 5092799103 6547884561 8671522797 11883197907 15278397309 35649593721 45835191927 106948781163 320846343489