Search a number
-
+
430480098 = 23223253853
BaseRepresentation
bin11001101010001…
…001101011100010
31010000000122200100
4121222021223202
51340200330343
6110414403230
713445010006
oct3152115342
91100018610
10430480098
11200aa4084
12100200516
136b253c69
144125a706
1527bd49d3
hex19a89ae2

430480098 has 72 divisors (see below), whose sum is σ = 994583772. Its totient is φ = 134506944.

The previous prime is 430480091. The next prime is 430480117. The reversal of 430480098 is 890084034.

It can be written as a sum of positive squares in 2 ways, for example, as 419963049 + 10517049 = 20493^2 + 3243^2 .

It is a super-2 number, since 2×4304800982 = 370626229548179208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (430480091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 504240 + ... + 505092.

Almost surely, 2430480098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430480098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497291886).

430480098 is an abundant number, since it is smaller than the sum of its proper divisors (564103674).

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

430480098 is a wasteful number, since it uses less digits than its factorization.

430480098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 430480098 is about 20748.0143146278. The cubic root of 430480098 is about 755.0650342354.

The spelling of 430480098 in words is "four hundred thirty million, four hundred eighty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 529 853 954 1058 1219 1587 1706 2438 2559 3174 3657 4761 5118 7314 7677 9522 10971 15354 19619 21942 28037 39238 45209 56074 58857 84111 90418 117714 135627 168222 176571 252333 271254 353142 406881 451237 504666 813762 902474 1039807 1353711 2079614 2707422 3119421 4061133 6238842 8122266 9358263 18716526 23915561 47831122 71746683 143493366 215240049 430480098