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3873384 = 2332232339
BaseRepresentation
bin1110110001101001101000
321021210021200
432301221220
51442422014
6215004200
744631444
oct16615150
97253250
103873384
112206149
121369660
13a58058
1472b824
15517a09
hex3b1a68

3873384 has 48 divisors (see below), whose sum is σ = 10951200. Its totient is φ = 1234464.

The previous prime is 3873383. The next prime is 3873391. The reversal of 3873384 is 4833783.

3873384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38733842 = 30006207222912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3873383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (228150).

Almost surely, 23873384 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 3873384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475600).

3873384 is an abundant number, since it is smaller than the sum of its proper divisors (7077816).

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

3873384 is a wasteful number, since it uses less digits than its factorization.

3873384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2367 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3873384 is about 1968.0914612893. The cubic root of 3873384 is about 157.0471952992.

The spelling of 3873384 in words is "three million, eight hundred seventy-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2339 4678 7017 9356 14034 18712 21051 28068 42102 53797 56136 84204 107594 161391 168408 215188 322782 430376 484173 645564 968346 1291128 1936692 3873384