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431444240 = 2455393053
BaseRepresentation
bin11001101101110…
…101000100010000
31010001211122020022
4121231311010100
51340422203430
6110451203012
713456133633
oct3155650420
91101748208
10431444240
112015a2497
121005a6468
136b500a66
144142bc1a
1527d254e5
hex19b75110

431444240 has 20 divisors (see below), whose sum is σ = 1003108044. Its totient is φ = 172577664.

The previous prime is 431444227. The next prime is 431444257. The reversal of 431444240 is 42444134.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 339591184 + 91853056 = 18428^2 + 9584^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4314442402 = 372288264458355200, which contains 22 as substring.

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, 2696447 + ... + 2696606.

Almost surely, 2431444240 is an apocalyptic number.

431444240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431444240 is an abundant number, since it is smaller than the sum of its proper divisors (571663804).

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

431444240 is a wasteful number, since it uses less digits than its factorization.

431444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393066 (or 5393060 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 431444240 is about 20771.2358804189. The cubic root of 431444240 is about 755.6283178035.

Adding to 431444240 its reverse (42444134), we get a palindrome (473888374).

The spelling of 431444240 in words is "four hundred thirty-one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5393053 10786106 21572212 26965265 43144424 53930530 86288848 107861060 215722120 431444240