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3876320 = 25573461
BaseRepresentation
bin1110110010010111100000
321021221022102
432302113200
51443020240
6215025532
744643140
oct16622740
97257272
103876320
112208378
12136b2a8
13a594a6
1472c920
15518815
hex3b25e0

3876320 has 48 divisors (see below), whose sum is σ = 10469088. Its totient is φ = 1328640.

The previous prime is 3876319. The next prime is 3876329. The reversal of 3876320 is 236783.

3876320 is nontrivially palindromic in base 15.

3876320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876329) 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, 611 + ... + 2850.

It is an arithmetic number, because the mean of its divisors is an integer number (218106).

Almost surely, 23876320 is an apocalyptic number.

It is an amenable number.

3876320 is an abundant number, since it is smaller than the sum of its proper divisors (6592768).

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

3876320 is a wasteful number, since it uses less digits than its factorization.

3876320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 3876320 is about 1968.8372202902. The cubic root of 3876320 is about 157.0868655301.

It can be divided in two parts, 38763 and 20, that added together give a palindrome (38783).

The spelling of 3876320 in words is "three million, eight hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3461 6922 13844 17305 24227 27688 34610 48454 55376 69220 96908 110752 121135 138440 193816 242270 276880 387632 484540 553760 775264 969080 1938160 3876320