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434180 = 225171277
BaseRepresentation
bin1101010000000000100
3211001120202
41222000010
5102343210
613150032
73455555
oct1520004
9731522
10434180
1127722a
1218b318
13122816
14b432c
15889a5
hex6a004

434180 has 24 divisors (see below), whose sum is σ = 966168. Its totient is φ = 163328.

The previous prime is 434179. The next prime is 434191. The reversal of 434180 is 81434.

434180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 315844 = 344^2 + 562^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (40257).

2434180 is an apocalyptic number.

It is an amenable number.

434180 is an abundant number, since it is smaller than the sum of its proper divisors (531988).

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

434180 is a wasteful number, since it uses less digits than its factorization.

434180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 434180 is about 658.9233642845. The cubic root of 434180 is about 75.7222083964.

The spelling of 434180 in words is "four hundred thirty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1277 2554 5108 6385 12770 21709 25540 43418 86836 108545 217090 434180