Search a number
-
+
434432142 = 232236311663
BaseRepresentation
bin11001111001001…
…110100010001110
31010021110102212100
4121321032202032
51342203312032
6111035215530
713523420004
oct3171164216
91107412770
10434432142
11203253331
121015a75a6
136c008a51
14419a8a74
152821597c
hex19e4e88e

434432142 has 48 divisors (see below), whose sum is σ = 984342528. Its totient is φ = 138211920.

The previous prime is 434432137. The next prime is 434432153. The reversal of 434432142 is 241234434.

It is a happy number.

434432142 is a `hidden beast` number, since 4 + 3 + 443 + 214 + 2 = 666.

It is a congruent number.

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, 260403 + ... + 262065.

It is an arithmetic number, because the mean of its divisors is an integer number (20507136).

Almost surely, 2434432142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434432142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492171264).

434432142 is an abundant number, since it is smaller than the sum of its proper divisors (549910386).

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

434432142 is a wasteful number, since it uses less digits than its factorization.

434432142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2322 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 434432142 is about 20843.0358153509. The cubic root of 434432142 is about 757.3686365024.

Adding to 434432142 its reverse (241234434), we get a palindrome (675666576).

The spelling of 434432142 in words is "four hundred thirty-four million, four hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 631 1262 1663 1893 3326 3786 4989 5679 9978 11358 14513 14967 29026 29934 38249 43539 76498 87078 114747 130617 229494 261234 344241 688482 1049353 2098706 3148059 6296118 9444177 18888354 24135119 48270238 72405357 144810714 217216071 434432142