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430040385 = 3259556453
BaseRepresentation
bin11001101000011…
…110010101000001
31002222012022111200
4121220132111001
51340042243020
6110401131413
713441166025
oct3150362501
91088168450
10430040385
11200823785
12100029b69
136b12ba88
1441184385
1527b49590
hex19a1e541

430040385 has 12 divisors (see below), whose sum is σ = 745403412. Its totient is φ = 229354848.

The previous prime is 430040363. The next prime is 430040389. The reversal of 430040385 is 583040034.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 310006449 + 120033936 = 17607^2 + 10956^2 .

It is not a de Polignac number, because 430040385 - 213 = 430032193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (430040389) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4778182 + ... + 4778271.

It is an arithmetic number, because the mean of its divisors is an integer number (62116951).

Almost surely, 2430040385 is an apocalyptic number.

430040385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

430040385 is a deficient number, since it is larger than the sum of its proper divisors (315363027).

430040385 is a wasteful number, since it uses less digits than its factorization.

430040385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556464 (or 9556461 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 430040385 is about 20737.4150992837. The cubic root of 430040385 is about 754.8078601163.

The spelling of 430040385 in words is "four hundred thirty million, forty thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 9556453 28669359 47782265 86008077 143346795 430040385