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432161361 = 32418531373
BaseRepresentation
bin11001110000100…
…100001001010001
31010010012001221100
4121300210021101
51341113130421
6110514415013
713465211442
oct3160441121
91103161840
10432161361
11201a42255
12100891469
136b6c22a8
14415772c9
1527e17c26
hex19c24251

432161361 has 24 divisors (see below), whose sum is σ = 640674216. Its totient is φ = 280546560.

The previous prime is 432161341. The next prime is 432161377. The reversal of 432161361 is 163161234.

432161361 is a `hidden beast` number, since 43 + 2 + 1 + 613 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13549761 + 418611600 = 3681^2 + 20460^2 .

It is not a de Polignac number, because 432161361 - 217 = 432030289 is a prime.

It is a super-3 number, since 3×4321613613 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (432161321) 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 23 ways as a sum of consecutive naturals, for example, 314071 + ... + 315443.

It is an arithmetic number, because the mean of its divisors is an integer number (26694759).

Almost surely, 2432161361 is an apocalyptic number.

432161361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

432161361 is a deficient number, since it is larger than the sum of its proper divisors (208512855).

432161361 is a wasteful number, since it uses less digits than its factorization.

432161361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2270 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 432161361 is about 20788.4910707824. The cubic root of 432161361 is about 756.0467395727.

The spelling of 432161361 in words is "four hundred thirty-two million, one hundred sixty-one thousand, three hundred sixty-one".

Divisors: 1 3 9 41 123 369 853 1373 2559 4119 7677 12357 34973 56293 104919 168879 314757 506637 1171169 3513507 10540521 48017929 144053787 432161361