Base | Representation |
---|---|
bin | 10101000111010… |
… | …100011001010001 |
3 | 220200120021001000 |
4 | 111013110121101 |
5 | 1211141140311 |
6 | 55052332213 |
7 | 11530663626 |
oct | 2507243121 |
9 | 820507030 |
10 | 354240081 |
11 | 171a608a8 |
12 | 9a774069 |
13 | 5850c120 |
14 | 3509234d |
15 | 21175056 |
hex | 151d4651 |
354240081 has 64 divisors (see below), whose sum is σ = 585446400. Its totient is φ = 210325248.
The previous prime is 354240079. The next prime is 354240091. The reversal of 354240081 is 180042453.
354240081 is a `hidden beast` number, since 3 + 542 + 40 + 0 + 81 = 666.
It is not a de Polignac number, because 354240081 - 21 = 354240079 is a prime.
It is a super-3 number, since 3×3542400813 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (354240001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1798075 + ... + 1798271.
It is an arithmetic number, because the mean of its divisors is an integer number (9147600).
Almost surely, 2354240081 is an apocalyptic number.
It is an amenable number.
354240081 is a deficient number, since it is larger than the sum of its proper divisors (231206319).
354240081 is a wasteful number, since it uses less digits than its factorization.
354240081 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 375 (or 369 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 354240081 is about 18821.2667214510. The cubic root of 354240081 is about 707.5642787266.
354240081 divided by its sum of digits (27) gives a triangular number (13120003 = T5122).
The spelling of 354240081 in words is "three hundred fifty-four million, two hundred forty thousand, eighty-one".
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