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3288397 = 72997167
BaseRepresentation
bin1100100010110101001101
320012001211111
430202311031
51320212042
6154252021
736644110
oct14426515
96161744
103288397
111946692
121127011
138b19c8
14618577
1544e517
hex322d4d

3288397 has 16 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 2677248.

The previous prime is 3288371. The next prime is 3288403. The reversal of 3288397 is 7938823.

It is a happy number.

3288397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3288397 - 27 = 3288269 is a prime.

3288397 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288317) 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 15 ways as a sum of consecutive naturals, for example, 19608 + ... + 19774.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 23288397 is an apocalyptic number.

It is an amenable number.

3288397 is a deficient number, since it is larger than the sum of its proper divisors (662963).

3288397 is a wasteful number, since it uses less digits than its factorization.

3288397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300.

The product of its digits is 72576, while the sum is 40.

The square root of 3288397 is about 1813.3937796298. The cubic root of 3288397 is about 148.7058593695.

The spelling of 3288397 in words is "three million, two hundred eighty-eight thousand, three hundred ninety-seven".

Divisors: 1 7 29 97 167 203 679 1169 2813 4843 16199 19691 33901 113393 469771 3288397