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3881376 = 253213477
BaseRepresentation
bin1110110011100110100000
321022012020200
432303212200
51443201001
6215105200
744663652
oct16634640
97265220
103881376
112211154
121372200
13a5b895
147306d2
1551a086
hex3b39a0

3881376 has 36 divisors (see below), whose sum is σ = 11038482. Its totient is φ = 1293696.

The previous prime is 3881363. The next prime is 3881387. The reversal of 3881376 is 6731883.

3881376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3027600 + 853776 = 1740^2 + 924^2 .

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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3881376.

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, 6451 + ... + 7026.

Almost surely, 23881376 is an apocalyptic number.

3881376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3881376 is an abundant number, since it is smaller than the sum of its proper divisors (7157106).

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

3881376 is a wasteful number, since it uses less digits than its factorization.

3881376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13493 (or 13482 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3881376 is about 1970.1208084785. The cubic root of 3881376 is about 157.1551335549.

It can be divided in two parts, 388 and 1376, that added together give a square (1764 = 422).

The spelling of 3881376 in words is "three million, eight hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13477 26954 40431 53908 80862 107816 121293 161724 215632 242586 323448 431264 485172 646896 970344 1293792 1940688 3881376