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4334220 = 22325112199
BaseRepresentation
bin10000100010001010001100
322011012102200
4100202022030
52102143340
6232521500
751561132
oct20421214
98135380
104334220
1124a0400
121550290
13b89a37
1480b752
155a9330
hex42228c

4334220 has 108 divisors (see below), whose sum is σ = 14523600. Its totient is φ = 1045440.

The previous prime is 4334191. The next prime is 4334221. The reversal of 4334220 is 224334.

4334220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 43 + 37 + 38 + 411 + 25 + 217 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4334193 and 4334202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334221) 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 35 ways as a sum of consecutive naturals, for example, 21681 + ... + 21879.

Almost surely, 24334220 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 4334220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261800).

4334220 is an abundant number, since it is smaller than the sum of its proper divisors (10189380).

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

4334220 is a wasteful number, since it uses less digits than its factorization.

4334220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4334220 is about 2081.8789590176. The cubic root of 4334220 is about 163.0435604405.

Adding to 4334220 its reverse (224334), we get a palindrome (4558554).

It can be divided in two parts, 4334 and 220, that added together give a palindrome (4554).

The spelling of 4334220 in words is "four million, three hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 199 220 242 330 363 396 398 484 495 597 605 660 726 796 990 995 1089 1194 1210 1452 1791 1815 1980 1990 2178 2189 2388 2420 2985 3582 3630 3980 4356 4378 5445 5970 6567 7164 7260 8756 8955 10890 10945 11940 13134 17910 19701 21780 21890 24079 26268 32835 35820 39402 43780 48158 65670 72237 78804 96316 98505 120395 131340 144474 197010 216711 240790 288948 361185 394020 433422 481580 722370 866844 1083555 1444740 2167110 4334220