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340195727169 = 3422922832
BaseRepresentation
bin1001111001101010011…
…11101101011101000001
31012112002211021112110000
410330311033231131001
521033210101232134
6420141143030213
733402236653314
oct4746517553501
91175084245400
10340195727169
1112130468a031
1255b22a3b369
132610760065c
14126736dc97b
158cb1458e99
hex4f353ed741

340195727169 has 45 divisors (see below), whose sum is σ = 512232480243. Its totient is φ = 225008867088.

The previous prime is 340195727159. The next prime is 340195727173. The reversal of 340195727169 is 961727591043.

The square root of 340195727169 is 583263.

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

340195727169 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 9 + 572 + 7 + 1 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 316841774769 + 23353952400 = 562887^2 + 152820^2 .

It is not a de Polignac number, because 340195727169 - 29 = 340195726657 is a prime.

It is a super-2 number, since 2×3401957271692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340195727159) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1202104902 + ... + 1202105184.

Almost surely, 2340195727169 is an apocalyptic number.

340195727169 is the 583263-rd square number.

340195727169 is the 291632-nd centered octagonal number.

It is an amenable number.

340195727169 is a deficient number, since it is larger than the sum of its proper divisors (172036753074).

340195727169 is an frugal number, since it uses more digits than its factorization.

340195727169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 340195727169 in words is "three hundred forty billion, one hundred ninety-five million, seven hundred twenty-seven thousand, one hundred sixty-nine".

Divisors: 1 3 9 27 81 229 283 687 849 2061 2547 6183 7641 18549 22923 52441 64807 80089 157323 194421 240267 471969 583263 720801 1415907 1749789 2162403 4247721 5249367 6487209 14840803 18340381 44522409 55021143 133567227 165063429 400701681 495190287 1202105043 1485570861 4199947249 12599841747 37799525241 113398575723 340195727169