Search a number
-
+
430655328 = 25327121061
BaseRepresentation
bin11001101010110…
…100011101100000
31010000100120001100
4121222310131200
51340221432303
6110422234400
713446336615
oct3152643540
91100316040
10430655328
112011037a4
12100285a00
136b2b594c
14412a450c
1527c1b8a3
hex19ab4760

430655328 has 72 divisors (see below), whose sum is σ = 1241984016. Its totient is φ = 141523200.

The previous prime is 430655327. The next prime is 430655359. The reversal of 430655328 is 823556034.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 430655292 and 430655301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430655327) 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, 9918 + ... + 30978.

It is an arithmetic number, because the mean of its divisors is an integer number (17249778).

Almost surely, 2430655328 is an apocalyptic number.

430655328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430655328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620992008).

430655328 is an abundant number, since it is smaller than the sum of its proper divisors (811328688).

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

430655328 is a wasteful number, since it uses less digits than its factorization.

430655328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21148 (or 21137 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 430655328 is about 20752.2366987272. The cubic root of 430655328 is about 755.1674718765.

The spelling of 430655328 in words is "four hundred thirty million, six hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 21061 42122 63183 84244 126366 168488 189549 252732 336976 379098 505464 673952 758196 1010928 1495331 1516392 2021856 2990662 3032784 4485993 5981324 6065568 8971986 11962648 13457979 17943972 23925296 26915958 35887944 47850592 53831916 71775888 107663832 143551776 215327664 430655328