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3877344 = 253213463
BaseRepresentation
bin1110110010100111100000
321021222201100
432302213200
51443033334
6215034400
744646132
oct16624740
97258640
103877344
112209119
12136ba00
13a59ab3
1472d052
15518c99
hex3b29e0

3877344 has 36 divisors (see below), whose sum is σ = 11027016. Its totient is φ = 1292352.

The previous prime is 3877339. The next prime is 3877361. The reversal of 3877344 is 4437783.

3877344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 33 + 87 + 74 + 76 + 313 + 44 + 48 .

It is a junction number, because it is equal to n+sod(n) for n = 3877299 and 3877308.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6444 + ... + 7019.

It is an arithmetic number, because the mean of its divisors is an integer number (306306).

Almost surely, 23877344 is an apocalyptic number.

It is an amenable number.

3877344 is an abundant number, since it is smaller than the sum of its proper divisors (7149672).

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

3877344 is a wasteful number, since it uses less digits than its factorization.

3877344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13479 (or 13468 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 3877344 is about 1969.0972550892. The cubic root of 3877344 is about 157.1006967573.

The spelling of 3877344 in words is "three million, eight hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13463 26926 40389 53852 80778 107704 121167 161556 215408 242334 323112 430816 484668 646224 969336 1292448 1938672 3877344