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3832220 = 225731883
BaseRepresentation
bin1110100111100110011100
321012200211002
432213212130
51440112340
6214045432
744400440
oct16474634
97180732
103832220
112188227
121349878
13a423b2
1471a820
1550a715
hex3a799c

3832220 has 48 divisors (see below), whose sum is σ = 9504768. Its totient is φ = 1270080.

The previous prime is 3832219. The next prime is 3832223. The reversal of 3832220 is 222383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3832192 and 3832201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3832223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3899 + ... + 4781.

It is an arithmetic number, because the mean of its divisors is an integer number (198016).

Almost surely, 23832220 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 3832220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752384).

3832220 is an abundant number, since it is smaller than the sum of its proper divisors (5672548).

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

3832220 is a wasteful number, since it uses less digits than its factorization.

3832220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3832220 is about 1957.6056804168. The cubic root of 3832220 is about 156.4888783449.

The spelling of 3832220 in words is "three million, eight hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 883 1085 1766 2170 3532 4340 4415 6181 8830 12362 17660 24724 27373 30905 54746 61810 109492 123620 136865 191611 273730 383222 547460 766444 958055 1916110 3832220