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3859380 = 2233571021
BaseRepresentation
bin1110101110001110110100
321021002002000
432232032310
51442000010
6214415300
744542560
oct16561664
97232060
103859380
1121a6678
121361530
13a51875
147266a0
155137c0
hex3ae3b4

3859380 has 96 divisors (see below), whose sum is σ = 13735680. Its totient is φ = 881280.

The previous prime is 3859333. The next prime is 3859381. The reversal of 3859380 is 839583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3859381) 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 31 ways as a sum of consecutive naturals, for example, 3270 + ... + 4290.

It is an arithmetic number, because the mean of its divisors is an integer number (143080).

Almost surely, 23859380 is an apocalyptic number.

3859380 is a gapful number since it is divisible by the number (30) 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 3859380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867840).

3859380 is an abundant number, since it is smaller than the sum of its proper divisors (9876300).

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

3859380 is a wasteful number, since it uses less digits than its factorization.

3859380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3859380 is about 1964.5304782568. The cubic root of 3859380 is about 156.8577016740.

The spelling of 3859380 in words is "three million, eight hundred fifty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1021 1260 1890 2042 3063 3780 4084 5105 6126 7147 9189 10210 12252 14294 15315 18378 20420 21441 27567 28588 30630 35735 36756 42882 45945 55134 61260 64323 71470 85764 91890 107205 110268 128646 137835 142940 183780 192969 214410 257292 275670 321615 385938 428820 551340 643230 771876 964845 1286460 1929690 3859380