Search a number
-
+
334206237393 = 327215724120029
BaseRepresentation
bin1001101110100000011…
…11100111101011010001
31011221122101222221002100
410313100033213223101
520433423244044033
6413310543311013
733100641101100
oct4672017475321
91157571887070
10334206237393
11119810787786
1254930bab469
1325691774772
1412266068037
158a606ea513
hex4dd03e7ad1

334206237393 has 72 divisors (see below), whose sum is σ = 567507506280. Its totient is φ = 188961776640.

The previous prime is 334206237367. The next prime is 334206237433. The reversal of 334206237393 is 393732602433.

334206237393 is a `hidden beast` number, since 3 + 3 + 4 + 20 + 6 + 237 + 393 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27963531729 + 306242705664 = 167223^2 + 553392^2 .

It is not a de Polignac number, because 334206237393 - 222 = 334202043089 is a prime.

It is a super-2 number, since 2×3342062373932 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (334206247393) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16676103 + ... + 16696131.

Almost surely, 2334206237393 is an apocalyptic number.

It is an amenable number.

334206237393 is a deficient number, since it is larger than the sum of its proper divisors (233301268887).

334206237393 is a wasteful number, since it uses less digits than its factorization.

334206237393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20447 (or 20437 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 45.

The spelling of 334206237393 in words is "three hundred thirty-four billion, two hundred six million, two hundred thirty-seven thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 49 63 147 157 241 441 471 723 1099 1413 1687 2169 3297 5061 7693 9891 11809 15183 20029 23079 35427 37837 60087 69237 106281 113511 140203 180261 264859 340533 420609 794577 981421 1261827 1854013 2383731 2944263 3144553 4826989 5562039 8832789 9433659 14480967 16686117 22011871 28300977 33788923 43442901 66035613 101366769 154083097 198106839 236522461 304100307 462249291 709567383 757837273 1386747873 2128702149 2273511819 5304860911 6820535457 15914582733 37134026377 47743748199 111402079131 334206237393