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4305224 = 2371129241
BaseRepresentation
bin10000011011000101001000
322002201122202
4100123011020
52100231344
6232135332
751410450
oct20330510
98081582
104305224
112480640
121537548
13b79791
14800d60
155a094e
hex41b148

4305224 has 64 divisors (see below), whose sum is σ = 10454400. Its totient is φ = 1612800.

The previous prime is 4305221. The next prime is 4305241. The reversal of 4305224 is 4225034.

4305224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 47 + 33 + 0 + 57 + 221 + 221 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 4305196 and 4305205.

It is not an unprimeable number, because it can be changed into a prime (4305221) 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, 17744 + ... + 17984.

It is an arithmetic number, because the mean of its divisors is an integer number (163350).

Almost surely, 24305224 is an apocalyptic number.

4305224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4305224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227200).

4305224 is an abundant number, since it is smaller than the sum of its proper divisors (6149176).

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

4305224 is a wasteful number, since it uses less digits than its factorization.

4305224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4305224 is about 2074.9033712441. The cubic root of 4305224 is about 162.6791586154.

The spelling of 4305224 in words is "four million, three hundred five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 241 308 319 406 482 616 638 812 964 1276 1624 1687 1928 2233 2552 2651 3374 4466 5302 6748 6989 8932 10604 13496 13978 17864 18557 21208 27956 37114 48923 55912 74228 76879 97846 148456 153758 195692 307516 391384 538153 615032 1076306 2152612 4305224