Search a number
-
+
434300132 = 227211319609
BaseRepresentation
bin11001111000101…
…110010011100100
31010021012201210002
4121320232103210
51342140101012
6111032320432
713522330100
oct3170562344
91107181702
10434300132
11203173132
12101543118
136bc90936
1441972900
15281db7c2
hex19e2e4e4

434300132 has 36 divisors (see below), whose sum is σ = 891980460. Its totient is φ = 184472064.

The previous prime is 434300123. The next prime is 434300147. The reversal of 434300132 is 231003434.

It can be written as a sum of positive squares in 2 ways, for example, as 236728996 + 197571136 = 15386^2 + 14056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12344 + ... + 31952.

It is an arithmetic number, because the mean of its divisors is an integer number (24777235).

Almost surely, 2434300132 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 434300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445990230).

434300132 is an abundant number, since it is smaller than the sum of its proper divisors (457680328).

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

434300132 is a wasteful number, since it uses less digits than its factorization.

434300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19740 (or 19731 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 434300132 is about 20839.8688095679. The cubic root of 434300132 is about 757.2919153818.

Adding to 434300132 its reverse (231003434), we get a palindrome (665303566).

The spelling of 434300132 in words is "four hundred thirty-four million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 1582 3164 5537 11074 19609 22148 39218 78436 137263 274526 549052 960841 1921682 2215817 3843364 4431634 8863268 15510719 31021438 62042876 108575033 217150066 434300132