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230654034 = 233131917293
BaseRepresentation
bin11011011111110…
…00000001010010
3121002000102212000
431233320001102
5433021412114
634515414430
75500345512
oct1557700122
9532012760
10230654034
1110921a876
12652b4416
1338a2aba0
14228c1842
15153b1e09
hexdbf8052

230654034 has 64 divisors (see below), whose sum is σ = 581078400. Its totient is φ = 67231296.

The previous prime is 230653991. The next prime is 230654057. The reversal of 230654034 is 430456032.

230654034 is a `hidden beast` number, since 2 + 3 + 0 + 654 + 0 + 3 + 4 = 666.

230654034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2306540343 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230653989 and 230654007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4692 + ... + 21984.

It is an arithmetic number, because the mean of its divisors is an integer number (9079350).

Almost surely, 2230654034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230654034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290539200).

230654034 is an abundant number, since it is smaller than the sum of its proper divisors (350424366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230654034 is a wasteful number, since it uses less digits than its factorization.

230654034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17336 (or 17330 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 230654034 is about 15187.2984431070. The cubic root of 230654034 is about 613.2727740958.

The spelling of 230654034 in words is "two hundred thirty million, six hundred fifty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 17293 34586 51879 103758 155637 224809 311274 328567 449618 466911 657134 674427 933822 985701 1348854 1971402 2023281 2957103 4046562 4271371 5914206 6069843 8542742 8871309 12139686 12814113 17742618 25628226 38442339 76884678 115327017 230654034