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430542272 = 2617395719
BaseRepresentation
bin11001101010011…
…000110111000000
31010000010210222002
4121222120313000
51340204323042
6110420003132
713445356166
oct3152306700
91100123862
10430542272
11201036866
121002304a8
136b276354
1441275236
1527be8132
hex19a98dc0

430542272 has 28 divisors (see below), whose sum is σ = 904615920. Its totient is φ = 202607616.

The previous prime is 430542269. The next prime is 430542401. The reversal of 430542272 is 272245034.

It is a super-3 number, since 3×4305422723 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 196772 + ... + 198947.

Almost surely, 2430542272 is an apocalyptic number.

It is an amenable number.

430542272 is an abundant number, since it is smaller than the sum of its proper divisors (474073648).

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

430542272 is a wasteful number, since it uses less digits than its factorization.

430542272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395748 (or 395738 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 430542272 is about 20749.5125725883. The cubic root of 430542272 is about 755.1013836924.

The spelling of 430542272 in words is "four hundred thirty million, five hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 395719 791438 1582876 3165752 6331504 6727223 12663008 13454446 25326016 26908892 53817784 107635568 215271136 430542272