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663348 = 223753149
BaseRepresentation
bin10100001111100110100
31020200221110
42201330310
5132211343
622115020
75431650
oct2417464
91220843
10663348
11413424
1227ba70
131a2c1a
14133a60
15d1833
hexa1f34

663348 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 184704.

The previous prime is 663331. The next prime is 663349. The reversal of 663348 is 843366.

663348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (10368) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4378 + ... + 4526.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

663348 is a Friedman number, since it can be written as ((8*6)^3-34)*6, using all its digits and the basic arithmetic operations.

2663348 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 663348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

663348 is an abundant number, since it is smaller than the sum of its proper divisors (1151052).

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

663348 is a wasteful number, since it uses less digits than its factorization.

663348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 663348 is about 814.4617854755. The cubic root of 663348 is about 87.2128491572.

The spelling of 663348 in words is "six hundred sixty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 149 159 212 298 318 371 447 596 636 742 894 1043 1113 1484 1788 2086 2226 3129 4172 4452 6258 7897 12516 15794 23691 31588 47382 55279 94764 110558 165837 221116 331674 663348