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3841376 = 257111559
BaseRepresentation
bin1110101001110101100000
321020011101012
432221311200
51440411001
6214200052
744436230
oct16516540
97204335
103841376
1121940a0
121353028
13a46606
1471dcc0
1550d2bb
hex3a9d60

3841376 has 48 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1495680.

The previous prime is 3841373. The next prime is 3841381. The reversal of 3841376 is 6731483.

3841376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3841373) 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 7 ways as a sum of consecutive naturals, for example, 1685 + ... + 3243.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 23841376 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 3841376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3841376 is an abundant number, since it is smaller than the sum of its proper divisors (5593504).

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

3841376 is a wasteful number, since it uses less digits than its factorization.

3841376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1579 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 3841376 is about 1959.9428563098. The cubic root of 3841376 is about 156.6134077807.

It can be divided in two parts, 38 and 41376, that added together give a palindrome (41414).

The spelling of 3841376 in words is "three million, eight hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1559 2464 3118 6236 10913 12472 17149 21826 24944 34298 43652 49888 68596 87304 120043 137192 174608 240086 274384 349216 480172 548768 960344 1920688 3841376