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434328 = 23318097
BaseRepresentation
bin1101010000010011000
3211001210020
41222002120
5102344303
613150440
73456156
oct1520230
9731706
10434328
11277354
1218b420
131228cb
14b43d6
1588a53
hex6a098

434328 has 16 divisors (see below), whose sum is σ = 1085880. Its totient is φ = 144768.

The previous prime is 434323. The next prime is 434347. The reversal of 434328 is 823434.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 18097 = 434328 / (4 + 3 + 4 + 3 + 2 + 8).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 434298 and 434307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434323) 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 3 ways as a sum of consecutive naturals, for example, 9025 + ... + 9072.

2434328 is an apocalyptic number.

It is an amenable number.

434328 is an abundant number, since it is smaller than the sum of its proper divisors (651552).

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

434328 is a wasteful number, since it uses less digits than its factorization.

434328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18106 (or 18102 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 434328 is about 659.0356591263. The cubic root of 434328 is about 75.7308112905.

It can be divided in two parts, 4343 and 28, that added together give a triangular number (4371 = T93).

The spelling of 434328 in words is "four hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 18097 36194 54291 72388 108582 144776 217164 434328