Search a number
-
+
354240081 = 331347109197
BaseRepresentation
bin10101000111010…
…100011001010001
3220200120021001000
4111013110121101
51211141140311
655052332213
711530663626
oct2507243121
9820507030
10354240081
11171a608a8
129a774069
135850c120
143509234d
1521175056
hex151d4651

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".

Divisors: 1 3 9 13 27 39 47 109 117 141 197 327 351 423 591 611 981 1269 1417 1773 1833 2561 2943 4251 5123 5319 5499 7683 9259 12753 15369 16497 21473 23049 27777 38259 46107 64419 66599 69147 83331 120367 138321 193257 199797 249993 279149 361101 579771 599391 837447 1009231 1083303 1798173 2512341 3027693 3249909 7537023 9083079 13120003 27249237 39360009 118080027 354240081