Search a number
-
+
430131312 = 243213229771
BaseRepresentation
bin11001101000110…
…100100001110000
31002222100221020100
4121220310201300
51340103200222
6110403112400
713442025102
oct3150644160
91088327210
10430131312
11200886026
12100072700
136b161290
14411a9572
1527b664ac
hex19a34870

430131312 has 60 divisors (see below), whose sum is σ = 1296373624. Its totient is φ = 132347520.

The previous prime is 430131311. The next prime is 430131319. The reversal of 430131312 is 213131034.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430131311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113014 + ... + 116757.

Almost surely, 2430131312 is an apocalyptic number.

It is an amenable number.

430131312 is an abundant number, since it is smaller than the sum of its proper divisors (866242312).

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

430131312 is a wasteful number, since it uses less digits than its factorization.

430131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229798 (or 229789 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 430131312 is about 20739.6073251159. The cubic root of 430131312 is about 754.8610547930.

Adding to 430131312 its reverse (213131034), we get a palindrome (643262346).

The spelling of 430131312 in words is "four hundred thirty million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 229771 459542 689313 919084 1378626 1838168 2067939 2757252 2987023 3676336 4135878 5514504 5974046 8271756 8961069 11029008 11948092 16543512 17922138 23896184 26883207 33087024 35844276 47792368 53766414 71688552 107532828 143377104 215065656 430131312