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434309 = 232821
BaseRepresentation
bin1101010000010000101
3211001202112
41222002011
5102344214
613150405
73456131
oct1520205
9731675
10434309
11277337
1218b405
131228b5
14b43c1
1588a3e
hex6a085

434309 has 6 divisors (see below), whose sum is σ = 454566. Its totient is φ = 414920.

The previous prime is 434303. The next prime is 434311. The reversal of 434309 is 903434.

It can be written as a sum of positive squares in only one way, i.e., 330625 + 103684 = 575^2 + 322^2 .

It is not a de Polignac number, because 434309 - 24 = 434293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434303) 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 5 ways as a sum of consecutive naturals, for example, 119 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (75761).

2434309 is an apocalyptic number.

It is an amenable number.

434309 is a deficient number, since it is larger than the sum of its proper divisors (20257).

434309 is an equidigital number, since it uses as much as digits as its factorization.

434309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 434309 is about 659.0212439671. The cubic root of 434309 is about 75.7297069743.

The spelling of 434309 in words is "four hundred thirty-four thousand, three hundred nine".

Divisors: 1 23 529 821 18883 434309