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880393 = 41109197
BaseRepresentation
bin11010110111100001001
31122201200011
43112330021
5211133033
630511521
710324513
oct3267411
91581604
10880393
115514a8
123655a1
1324a957
1418cbb3
15125ccd
hexd6f09

880393 has 8 divisors (see below), whose sum is σ = 914760. Its totient is φ = 846720.

The previous prime is 880367. The next prime is 880409. The reversal of 880393 is 393088.

It can be written as a sum of positive squares in 4 ways, for example, as 227529 + 652864 = 477^2 + 808^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 880393 - 25 = 880361 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880303) 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, 4371 + ... + 4567.

It is an arithmetic number, because the mean of its divisors is an integer number (114345).

2880393 is an apocalyptic number.

It is an amenable number.

880393 is a deficient number, since it is larger than the sum of its proper divisors (34367).

880393 is a wasteful number, since it uses less digits than its factorization.

880393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 880393 is about 938.2925982869. The cubic root of 880393 is about 95.8426603819.

The spelling of 880393 in words is "eight hundred eighty thousand, three hundred ninety-three".

Divisors: 1 41 109 197 4469 8077 21473 880393