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430058268 = 223315126371
BaseRepresentation
bin11001101000100…
…010101100011100
31002222020020001000
4121220202230130
51340043331033
6110401350300
713441302123
oct3150425434
91088206030
10430058268
11200836162
12100038390
136b136c63
144118aaba
1527b4ea13
hex19a22b1c

430058268 has 48 divisors (see below), whose sum is σ = 1122392320. Its totient is φ = 142398000.

The previous prime is 430058261. The next prime is 430058281. The reversal of 430058268 is 862850034.

It is a super-2 number, since 2×4300582682 = 369900227750319648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430058261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3123 + ... + 29493.

Almost surely, 2430058268 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 430058268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561196160).

430058268 is an abundant number, since it is smaller than the sum of its proper divisors (692334052).

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

430058268 is a wasteful number, since it uses less digits than its factorization.

430058268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26535 (or 26527 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 430058268 is about 20737.8462719734. The cubic root of 430058268 is about 754.8183227320.

The spelling of 430058268 in words is "four hundred thirty million, fifty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2718 4077 5436 8154 16308 26371 52742 79113 105484 158226 237339 316452 474678 712017 949356 1424034 2848068 3982021 7964042 11946063 15928084 23892126 35838189 47784252 71676378 107514567 143352756 215029134 430058268