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343120635225 = 365243392
BaseRepresentation
bin1001111111000111001…
…01010110010101011001
31012210122200000021000000
410333203211112111121
521110202340311400
6421343310003213
733534564164124
oct4774345262531
91183580007000
10343120635225
11122575720815
12565ba4a6509
1326482582794
141286dd593bb
158dd3118600
hex4fe3956559

343120635225 has 63 divisors (see below), whose sum is σ = 638059616463. Its totient is φ = 182955497040.

The previous prime is 343120635223. The next prime is 343120635239. The reversal of 343120635225 is 522536021343.

The square root of 343120635225 is 585765.

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

343120635225 is a `hidden beast` number, since 3 + 4 + 3 + 12 + 0 + 635 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123523428681 + 219597206544 = 351459^2 + 468612^2 .

It is not a de Polignac number, because 343120635225 - 21 = 343120635223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 343120635225.

It is not an unprimeable number, because it can be changed into a prime (343120635223) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 79076106 + ... + 79080444.

Almost surely, 2343120635225 is an apocalyptic number.

343120635225 is the 585765-th square number.

343120635225 is the 292883-rd centered octagonal number.

It is an amenable number.

343120635225 is a deficient number, since it is larger than the sum of its proper divisors (294938981238).

343120635225 is an frugal number, since it uses more digits than its factorization.

343120635225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Multiplying 343120635225 by its sum of digits (36), we get a square (12352342868100 = 35145902).

Adding to 343120635225 its reverse (522536021343), we get a palindrome (865656656568).

The spelling of 343120635225 in words is "three hundred forty-three billion, one hundred twenty million, six hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 3645 4339 6075 13017 18225 21695 39051 65085 108475 117153 195255 325425 351459 585765 976275 1054377 1757295 2928825 3163131 5271885 8786475 15815655 18826921 26359425 56480763 79078275 94134605 169442289 282403815 470673025 508326867 847211445 1412019075 1524980601 2541634335 4236057225 4574941803 7624903005 12708171675 13724825409 22874709015 38124515025 68624127045 114373545075 343120635225