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4332420 = 2233571113
BaseRepresentation
bin10000100001101110000100
322011002222000
4100201232010
52102114140
6232505300
751552651
oct20415604
98132860
104332420
11249a014
12154b230
13b88c81
1480ac28
155a8a30
hex421b84

4332420 has 96 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1128960.

The previous prime is 4332409. The next prime is 4332443. The reversal of 4332420 is 242334.

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 46 + 36 + 37 + 25 + 411 + 217 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4332393 and 4332402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38284 + ... + 38396.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 24332420 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 4332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4332420 is an abundant number, since it is smaller than the sum of its proper divisors (9457020).

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

4332420 is a wasteful number, since it uses less digits than its factorization.

4332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

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

The square root of 4332420 is about 2081.4466123348. The cubic root of 4332420 is about 163.0209866714.

Adding to 4332420 its reverse (242334), we get a palindrome (4574754).

The spelling of 4332420 in words is "four million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 113 135 142 180 213 226 270 284 339 355 426 452 540 565 639 678 710 852 1017 1065 1130 1278 1356 1420 1695 1917 2034 2130 2260 2556 3051 3195 3390 3834 4068 4260 5085 6102 6390 6780 7668 8023 9585 10170 12204 12780 15255 16046 19170 20340 24069 30510 32092 38340 40115 48138 61020 72207 80230 96276 120345 144414 160460 216621 240690 288828 361035 433242 481380 722070 866484 1083105 1444140 2166210 4332420