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3287916 = 223291331
BaseRepresentation
bin1100100010101101101100
320012001011200
430202231230
51320203131
6154245500
736642522
oct14425554
96161150
103287916
111946295
121126890
138b1718
14618312
1544e2e6
hex322b6c

3287916 has 18 divisors (see below), whose sum is σ = 8311212. Its totient is φ = 1095960.

The previous prime is 3287899. The next prime is 3287917. The reversal of 3287916 is 6197823.

3287916 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 (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 91331 = 3287916 / (3 + 2 + 8 + 7 + 9 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (3287917) 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 5 ways as a sum of consecutive naturals, for example, 45630 + ... + 45701.

It is an arithmetic number, because the mean of its divisors is an integer number (461734).

Almost surely, 23287916 is an apocalyptic number.

3287916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3287916 is an abundant number, since it is smaller than the sum of its proper divisors (5023296).

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

3287916 is a wasteful number, since it uses less digits than its factorization.

3287916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91341 (or 91336 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3287916 is about 1813.2611505241. The cubic root of 3287916 is about 148.6986085209.

The spelling of 3287916 in words is "three million, two hundred eighty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 91331 182662 273993 365324 547986 821979 1095972 1643958 3287916