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434042430 = 235234314629
BaseRepresentation
bin11001110111101…
…111011000111110
31010020201122021120
4121313233120332
51342103324210
6111023011410
713520204553
oct3167573076
91106648246
10434042430
11203007558
12101439b66
136bc00553
1441906a2a
152818a270
hex19def63e

434042430 has 64 divisors (see below), whose sum is σ = 1112348160. Its totient is φ = 108130176.

The previous prime is 434042381. The next prime is 434042437. The reversal of 434042430 is 34240434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 434042430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434042437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22356 + ... + 36984.

It is an arithmetic number, because the mean of its divisors is an integer number (17380440).

Almost surely, 2434042430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

434042430 is an abundant number, since it is smaller than the sum of its proper divisors (678305730).

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

434042430 is a wasteful number, since it uses less digits than its factorization.

434042430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14705.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 434042430 is about 20833.6849836989. The cubic root of 434042430 is about 757.1421002044.

Adding to 434042430 its reverse (34240434), we get a palindrome (468282864).

The spelling of 434042430 in words is "four hundred thirty-four million, forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 43 46 69 86 115 129 138 215 230 258 345 430 645 690 989 1290 1978 2967 4945 5934 9890 14629 14835 29258 29670 43887 73145 87774 146290 219435 336467 438870 629047 672934 1009401 1258094 1682335 1887141 2018802 3145235 3364670 3774282 5047005 6290470 9435705 10094010 14468081 18871410 28936162 43404243 72340405 86808486 144680810 217021215 434042430