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430541056 = 2811473253
BaseRepresentation
bin11001101010011…
…000100100000000
31010000010202022001
4121222120210000
51340204303211
6110415553344
713445352511
oct3152304400
91100122261
10430541056
11201035960
1210022b854
136b27592a
1441274a08
1527be7ac1
hex19a98900

430541056 has 72 divisors (see below), whose sum is σ = 957769344. Its totient is φ = 191477760.

The previous prime is 430540987. The next prime is 430541057. The reversal of 430541056 is 650145034.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (430541057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130726 + ... + 133978.

It is an arithmetic number, because the mean of its divisors is an integer number (13302352).

Almost surely, 2430541056 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 430541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478884672).

430541056 is an abundant number, since it is smaller than the sum of its proper divisors (527228288).

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

430541056 is a wasteful number, since it uses less digits than its factorization.

430541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 430541056 is about 20749.4832706745. The cubic root of 430541056 is about 755.1006728028.

The spelling of 430541056 in words is "four hundred thirty million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 517 704 752 1034 1408 1504 2068 2816 3008 3253 4136 6016 6506 8272 12032 13012 16544 26024 33088 35783 52048 66176 71566 104096 132352 143132 152891 208192 286264 305782 416384 572528 611564 832768 1145056 1223128 1681801 2290112 2446256 3363602 4580224 4892512 6727204 9160448 9785024 13454408 19570048 26908816 39140096 53817632 107635264 215270528 430541056