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345491206225 = 52112106872
BaseRepresentation
bin1010000011100001110…
…00010111000001010001
31020000202212122202001221
411001300320113001101
521130031222044400
6422414431325041
733650410540624
oct5016070270121
91200685582057
10345491206225
11123581862900
1256b60380781
132676c736309
1412a16b17dbb
158ec12c9c1a
hex5070e17051

345491206225 has 27 divisors (see below), whose sum is σ = 470940014811. Its totient is φ = 251242820400.

The previous prime is 345491206187. The next prime is 345491206237. The reversal of 345491206225 is 522602194543.

The square root of 345491206225 is 587785.

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

It can be written as a sum of positive squares in only one way, i.e., 124376834241 + 221114371984 = 352671^2 + 470228^2 .

It is not a de Polignac number, because 345491206225 - 29 = 345491205713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32322832 + ... + 32333518.

Almost surely, 2345491206225 is an apocalyptic number.

345491206225 is the 587785-th square number.

345491206225 is the 293893-rd centered octagonal number.

It is an amenable number.

345491206225 is a deficient number, since it is larger than the sum of its proper divisors (125448808586).

345491206225 is an frugal number, since it uses more digits than its factorization.

345491206225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21406 (or 10703 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 345491206225 in words is "three hundred forty-five billion, four hundred ninety-one million, two hundred six thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 10687 53435 117557 267175 587785 1293127 2938925 6465635 32328175 114211969 571059845 1256331659 2855299225 6281658295 13819648249 31408291475 69098241245 345491206225