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434988 = 223243281
BaseRepresentation
bin1101010001100101100
3211002200200
41222030230
5102404423
613153500
73461121
oct1521454
9732620
10434988
112778a4
1218b890
13122cb8
14b4748
1588d43
hex6a32c

434988 has 36 divisors (see below), whose sum is σ = 1129128. Its totient is φ = 141120.

The previous prime is 434981. The next prime is 434989. The reversal of 434988 is 889434.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 434988.

It is not an unprimeable number, because it can be changed into a prime (434981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408 + ... + 1688.

2434988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564564).

434988 is an abundant number, since it is smaller than the sum of its proper divisors (694140).

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

434988 is a wasteful number, since it uses less digits than its factorization.

434988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 434988 is about 659.5362006744. The cubic root of 434988 is about 75.7691517761.

The spelling of 434988 in words is "four hundred thirty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 281 387 516 562 774 843 1124 1548 1686 2529 3372 5058 10116 12083 24166 36249 48332 72498 108747 144996 217494 434988