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434564 = 221361137
BaseRepresentation
bin1101010000110000100
3211002002222
41222012010
5102401224
613151512
73456644
oct1520604
9732088
10434564
11277549
1218b598
13122a50
14b4524
1588b5e
hex6a184

434564 has 24 divisors (see below), whose sum is σ = 838488. Its totient is φ = 195840.

The previous prime is 434563. The next prime is 434573. The reversal of 434564 is 465434.

It can be written as a sum of positive squares in 4 ways, for example, as 1600 + 432964 = 40^2 + 658^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (434561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3104 + ... + 3240.

It is an arithmetic number, because the mean of its divisors is an integer number (34937).

2434564 is an apocalyptic number.

It is an amenable number.

434564 is a deficient number, since it is larger than the sum of its proper divisors (403924).

434564 is a wasteful number, since it uses less digits than its factorization.

434564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 434564 is about 659.2146843025. The cubic root of 434564 is about 75.7445253771.

Adding to 434564 its reverse (465434), we get a palindrome (899998).

The spelling of 434564 in words is "four hundred thirty-four thousand, five hundred sixty-four".

Divisors: 1 2 4 13 26 52 61 122 137 244 274 548 793 1586 1781 3172 3562 7124 8357 16714 33428 108641 217282 434564