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1028304 = 243237193
BaseRepresentation
bin11111011000011010000
31221020120100
43323003100
5230401204
634012400
711511654
oct3730320
91836510
101028304
11642642
12417100
132a0084
141caa64
15154a39
hexfb0d0

1028304 has 60 divisors (see below), whose sum is σ = 2970916. Its totient is φ = 331776.

The previous prime is 1028303. The next prime is 1028309. The reversal of 1028304 is 4038201.

It is a happy number.

1028304 is digitally balanced in base 2, 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 2 ways, for example, as 608400 + 419904 = 780^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028303) 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, 5232 + ... + 5424.

21028304 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 1028304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485458).

1028304 is an abundant number, since it is smaller than the sum of its proper divisors (1942612).

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

1028304 is a wasteful number, since it uses less digits than its factorization.

1028304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1028304 is about 1014.0532530395. The cubic root of 1028304 is about 100.9347027536.

The spelling of 1028304 in words is "one million, twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 193 222 296 333 386 444 579 592 666 772 888 1158 1332 1544 1737 1776 2316 2664 3088 3474 4632 5328 6948 7141 9264 13896 14282 21423 27792 28564 42846 57128 64269 85692 114256 128538 171384 257076 342768 514152 1028304