Search a number
-
+
434334032 = 241111321839
BaseRepresentation
bin11001111000110…
…110100101010000
31010021021110021122
4121320312211100
51342142142112
6111033141412
713522530656
oct3170664520
91107243248
10434334032
11203196650
1210155a868
136bca31b2
1441980dd6
15281e6872
hex19e36950

434334032 has 40 divisors (see below), whose sum is σ = 926190720. Its totient is φ = 195668480.

The previous prime is 434334029. The next prime is 434334041. The reversal of 434334032 is 230433434.

It is a junction number, because it is equal to n+sod(n) for n = 434333992 and 434334010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8969 + ... + 30807.

It is an arithmetic number, because the mean of its divisors is an integer number (23154768).

Almost surely, 2434334032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

434334032 is an abundant number, since it is smaller than the sum of its proper divisors (491856688).

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

434334032 is a wasteful number, since it uses less digits than its factorization.

434334032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21971 (or 21965 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

The square root of 434334032 is about 20840.6821385482. The cubic root of 434334032 is about 757.3116187513.

Adding to 434334032 its reverse (230433434), we get a palindrome (664767466).

The spelling of 434334032 in words is "four hundred thirty-four million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2486 4972 9944 19888 21839 43678 87356 174712 240229 349424 480458 960916 1921832 2467807 3843664 4935614 9871228 19742456 27145877 39484912 54291754 108583508 217167016 434334032