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430552064 = 2101724733
BaseRepresentation
bin11001101010011…
…011010000000000
31010000011022101202
4121222123100000
51340210131224
6110420120332
713445426555
oct3152332000
91100138352
10430552064
11201043158
121002360a8
136b27a947
1441278a2c
1527beaeae
hex19a9b400

430552064 has 44 divisors (see below), whose sum is σ = 911348964. Its totient is φ = 202604544.

The previous prime is 430552061. The next prime is 430552093. The reversal of 430552064 is 460255034.

It can be written as a sum of positive squares in 2 ways, for example, as 158961664 + 271590400 = 12608^2 + 16480^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430552061) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5042 + ... + 29774.

Almost surely, 2430552064 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 430552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455674482).

430552064 is an abundant number, since it is smaller than the sum of its proper divisors (480796900).

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

430552064 is a wasteful number, since it uses less digits than its factorization.

430552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24770 (or 24752 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 430552064 is about 20749.7485285967. The cubic root of 430552064 is about 755.1071081761.

The spelling of 430552064 in words is "four hundred thirty million, five hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 8704 17408 24733 49466 98932 197864 395728 420461 791456 840922 1582912 1681844 3165824 3363688 6331648 6727376 12663296 13454752 25326592 26909504 53819008 107638016 215276032 430552064