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234359587449 = 32132124132
BaseRepresentation
bin1101101001000011101…
…0111000001001111001
3211101220220220120120100
43122100322320021321
512314432023244244
6255355135150013
722634435424231
oct3322072701171
9741826816510
10234359587449
1190433971869
1239506675309
131913b967a00
14b4b3524cc1
156169ba2b69
hex3690eb8279

234359587449 has 27 divisors (see below), whose sum is σ = 366591964557. Its totient is φ = 144209666016.

The previous prime is 234359587439. The next prime is 234359587493. The reversal of 234359587449 is 944785953432.

The square root of 234359587449 is 484107.

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

234359587449 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 5 + 9 + 587 + 4 + 49 = 666.

234359587449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74007393849 + 160352193600 = 272043^2 + 400440^2 .

It is not a de Polignac number, because 234359587449 - 27 = 234359587321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234359587439) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 18873967 + ... + 18886379.

Almost surely, 2234359587449 is an apocalyptic number.

234359587449 is the 484107-th square number.

234359587449 is the 242054-th centered octagonal number.

It is an amenable number.

234359587449 is a deficient number, since it is larger than the sum of its proper divisors (132232377108).

234359587449 is an frugal number, since it uses more digits than its factorization.

234359587449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24858 (or 12429 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 234359587449 in words is "two hundred thirty-four billion, three hundred fifty-nine million, five hundred eighty-seven thousand, four hundred forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 12413 37239 111717 161369 484107 1452321 2097797 6293391 18880173 154082569 462247707 1386743121 2003073397 6009220191 18027660573 26039954161 78119862483 234359587449