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434528 = 2537367
BaseRepresentation
bin1101010000101100000
3211002001122
41222011200
5102401103
613151412
73456563
oct1520540
9732048
10434528
11277516
1218b568
13122a23
14b44da
1588b38
hex6a160

434528 has 24 divisors (see below), whose sum is σ = 880992. Its totient is φ = 210816.

The previous prime is 434521. The next prime is 434561. The reversal of 434528 is 825434.

434528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 434497 and 434506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434521) 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, 1001 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (36708).

2434528 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 434528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440496).

434528 is an abundant number, since it is smaller than the sum of its proper divisors (446464).

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

434528 is a wasteful number, since it uses less digits than its factorization.

434528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 434528 is about 659.1873785199. The cubic root of 434528 is about 75.7424337187.

The spelling of 434528 in words is "four hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 367 592 734 1184 1468 2936 5872 11744 13579 27158 54316 108632 217264 434528