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3873016 = 237233197
BaseRepresentation
bin1110110001100011111000
321021202210001
432301203320
51442414031
6215002344
744630410
oct16614370
97252701
103873016
112205944
1213693b4
13a57b34
1472b640
15517861
hex3b18f8

3873016 has 64 divisors (see below), whose sum is σ = 9031680. Its totient is φ = 1520640.

The previous prime is 3873011. The next prime is 3873041. The reversal of 3873016 is 6103783.

3873016 = 102 + 112 + ... + 2262.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873011) 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, 39880 + ... + 39976.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 23873016 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 3873016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840).

3873016 is an abundant number, since it is smaller than the sum of its proper divisors (5158664).

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

3873016 is a wasteful number, since it uses less digits than its factorization.

3873016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 3873016 is about 1967.9979674786. The cubic root of 3873016 is about 157.0422215951.

Adding to 3873016 its reverse (6103783), we get a palindrome (9976799).

It can be divided in two parts, 387 and 3016, that added together give a triangular number (3403 = T82).

The spelling of 3873016 in words is "three million, eight hundred seventy-three thousand, sixteen".

Divisors: 1 2 4 7 8 14 23 28 31 46 56 62 92 97 124 161 184 194 217 248 322 388 434 644 679 713 776 868 1288 1358 1426 1736 2231 2716 2852 3007 4462 4991 5432 5704 6014 8924 9982 12028 15617 17848 19964 21049 24056 31234 39928 42098 62468 69161 84196 124936 138322 168392 276644 484127 553288 968254 1936508 3873016