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230002434 = 232372811229
BaseRepresentation
bin11011011010110…
…00111100000010
3121000210100000200
431231120330002
5432340034214
634453430030
75461663014
oct1555307402
9530710020
10230002434
11108915262
126503b316
133886041c
14227921b4
15152d3d09
hexdb58f02

230002434 has 48 divisors (see below), whose sum is σ = 514046520. Its totient is φ = 74269440.

The previous prime is 230002427. The next prime is 230002453. The reversal of 230002434 is 434200032.

230002434 is a `hidden beast` number, since 230 + 0 + 0 + 2 + 434 = 666.

230002434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 214769025 + 15233409 = 14655^2 + 3903^2 .

It is a super-2 number, since 2×2300024342 = 105802239291848712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186532 + ... + 187760.

Almost surely, 2230002434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230002434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257023260).

230002434 is an abundant number, since it is smaller than the sum of its proper divisors (284044086).

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

230002434 is a wasteful number, since it uses less digits than its factorization.

230002434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230002434 is about 15165.8311344944. The cubic root of 230002434 is about 612.6947288104.

Adding to 230002434 its reverse (434200032), we get a palindrome (664202466).

The spelling of 230002434 in words is "two hundred thirty million, two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 281 333 562 666 843 1229 1686 2458 2529 3687 5058 7374 10397 11061 20794 22122 31191 45473 62382 90946 93573 136419 187146 272838 345349 409257 690698 818514 1036047 2072094 3108141 6216282 12777913 25555826 38333739 76667478 115001217 230002434