Search a number
-
+
432197104 = 24192276263
BaseRepresentation
bin11001110000101…
…100110111110000
31010010020212222011
4121300230313300
51341120301404
6110515252304
713465420603
oct3160546760
91103225864
10432197104
11201a67099
121008aa094
136b705641
144158633a
1527e23604
hex19c2cdf0

432197104 has 40 divisors (see below), whose sum is σ = 885479040. Its totient is φ = 203790528.

The previous prime is 432197081. The next prime is 432197119. The reversal of 432197104 is 401791234.

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, 65877 + ... + 72139.

It is an arithmetic number, because the mean of its divisors is an integer number (22136976).

Almost surely, 2432197104 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 432197104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442739520).

432197104 is an abundant number, since it is smaller than the sum of its proper divisors (453281936).

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

432197104 is a wasteful number, since it uses less digits than its factorization.

432197104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 432197104 is about 20789.3507354126. The cubic root of 432197104 is about 756.0675825849.

The spelling of 432197104 in words is "four hundred thirty-two million, one hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 227 304 454 908 1816 3632 4313 6263 8626 12526 17252 25052 34504 50104 69008 100208 118997 237994 475988 951976 1421701 1903952 2843402 5686804 11373608 22747216 27012319 54024638 108049276 216098552 432197104