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342769266225 = 325223216972
BaseRepresentation
bin1001111110011101010…
…00111110111000110001
31012202202011211212100100
410333032220332320301
521103442413004400
6421244354543013
733523066455531
oct4771650767061
91182664755310
10342769266225
11122405351011
1256520897a69
132642783a429
14128394134c1
158db235e100
hex4fcea3ee31

342769266225 has 81 divisors (see below), whose sum is σ = 642169768513. Its totient is φ = 174758960640.

The previous prime is 342769266197. The next prime is 342769266227. The reversal of 342769266225 is 522662967243.

The square root of 342769266225 is 585465.

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

342769266225 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 6 + 9 + 2 + 6 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64580532129 + 278188734096 = 254127^2 + 527436^2 .

It is not a de Polignac number, because 342769266225 - 213 = 342769258033 is a prime.

It is a Duffinian number.

Its product of digits (13063680) is a multiple of the sum of its prime divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (342769266227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 201984577 + ... + 201986273.

Almost surely, 2342769266225 is an apocalyptic number.

342769266225 is the 585465-th square number.

342769266225 is the 292733-rd centered octagonal number.

It is an amenable number.

342769266225 is a deficient number, since it is larger than the sum of its proper divisors (299400502288).

342769266225 is an equidigital number, since it uses as much as digits as its factorization.

342769266225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 1728 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 342769266225 in words is "three hundred forty-two billion, seven hundred sixty-nine million, two hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 529 575 1035 1587 1697 1725 2645 4761 5091 5175 7935 8485 13225 15273 23805 25455 39031 39675 42425 76365 117093 119025 127275 195155 351279 381825 585465 897713 975775 1756395 2693139 2879809 2927325 4488565 8079417 8639427 8781975 13465695 14399045 22442825 25918281 40397085 43197135 66235607 67328475 71995225 129591405 198706821 201985425 215985675 331178035 596120463 647957025 993534105 1523418961 1655890175 2980602315 4570256883 4967670525 7617094805 13710770649 14903011575 22851284415 38085474025 68553853245 114256422075 342769266225