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428274 = 233711103
BaseRepresentation
bin1101000100011110010
3210202111000
41220203302
5102201044
613102430
73432420
oct1504362
9722430
10428274
11272850
12187a16
1311cc22
14b2110
1586d69
hex688f2

428274 has 64 divisors (see below), whose sum is σ = 1198080. Its totient is φ = 110160.

The previous prime is 428273. The next prime is 428297. The reversal of 428274 is 472824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4107 + ... + 4209.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2428274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599040).

428274 is an abundant number, since it is smaller than the sum of its proper divisors (769806).

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

428274 is a wasteful number, since it uses less digits than its factorization.

428274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 428274 is about 654.4264664575. The cubic root of 428274 is about 75.3772987591.

It can be divided in two parts, 4282 and 74, that added together give a square (4356 = 662).

The spelling of 428274 in words is "four hundred twenty-eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 103 126 154 189 198 206 231 297 309 378 462 594 618 693 721 927 1133 1386 1442 1854 2079 2163 2266 2781 3399 4158 4326 5562 6489 6798 7931 10197 12978 15862 19467 20394 23793 30591 38934 47586 61182 71379 142758 214137 428274