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430421028 = 223177129717
BaseRepresentation
bin11001101001111…
…011010000100100
31002222220122122120
4121221323100210
51340141433103
6110413225540
713444342542
oct3151732044
91088818576
10430421028
11200a63764
121001922b0
136b2330cb
1441242d92
1527bc2253
hex19a7b424

430421028 has 48 divisors (see below), whose sum is σ = 1078406784. Its totient is φ = 133127680.

The previous prime is 430421027. The next prime is 430421083. The reversal of 430421028 is 820124034.

It is a super-2 number, since 2×4304210282 = 370524522689153568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430420989 and 430421007.

It is not an unprimeable number, because it can be changed into a prime (430421021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375 + ... + 29342.

It is an arithmetic number, because the mean of its divisors is an integer number (22466808).

Almost surely, 2430421028 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 430421028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539203392).

430421028 is an abundant number, since it is smaller than the sum of its proper divisors (647985756).

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

430421028 is a wasteful number, since it uses less digits than its factorization.

430421028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29812 (or 29810 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 430421028 is about 20746.5907560736. The cubic root of 430421028 is about 755.0304962610.

The spelling of 430421028 in words is "four hundred thirty million, four hundred twenty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4828 7242 14484 29717 59434 89151 118868 178302 356604 505189 1010378 1515567 2020756 2109907 3031134 4219814 6062268 6329721 8439628 12659442 25318884 35868419 71736838 107605257 143473676 215210514 430421028