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430588428 = 223234793257
BaseRepresentation
bin11001101010100…
…100001000001100
31010000020011021120
4121222210020030
51340212312203
6110421000540
713445640564
oct3152441014
91100204246
10430588428
11201068506
12100253150
136b29136a
1441287da4
1527c06b53
hex19aa420c

430588428 has 48 divisors (see below), whose sum is σ = 1050900480. Its totient is φ = 136960384.

The previous prime is 430588399. The next prime is 430588441. The reversal of 430588428 is 824885034.

It is a happy number.

It is a super-2 number, since 2×4305884282 = 370812788655022368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 430588428.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130576 + ... + 133832.

It is an arithmetic number, because the mean of its divisors is an integer number (21893760).

Almost surely, 2430588428 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 430588428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525450240).

430588428 is an abundant number, since it is smaller than the sum of its proper divisors (620312052).

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

430588428 is a wasteful number, since it uses less digits than its factorization.

430588428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 430588428 is about 20750.6247616789. The cubic root of 430588428 is about 755.1283661100.

The spelling of 430588428 in words is "four hundred thirty million, five hundred eighty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 479 958 1437 1916 2874 3257 5748 6514 9771 11017 13028 19542 22034 33051 39084 44068 66102 74911 132204 149822 224733 299644 449466 898932 1560103 3120206 4680309 6240412 9360618 18721236 35882369 71764738 107647107 143529476 215294214 430588428