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10338417 = 321148713
BaseRepresentation
bin100111011100…
…000001110001
3201110020122100
4213130001301
510121312132
61005331013
7153606105
oct47340161
921406570
1010338417
115921451
123566a69
1321ac90b
141531905
15d9337c
hex9dc071

10338417 has 6 divisors (see below), whose sum is σ = 14933282. Its totient is φ = 6892272.

The previous prime is 10338409. The next prime is 10338421. The reversal of 10338417 is 71483301.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 2852721 = 2736^2 + 1689^2 .

It is not a de Polignac number, because 10338417 - 23 = 10338409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10338487) 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, 574348 + ... + 574365.

Almost surely, 210338417 is an apocalyptic number.

It is an amenable number.

10338417 is a deficient number, since it is larger than the sum of its proper divisors (4594865).

10338417 is a wasteful number, since it uses less digits than its factorization.

10338417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148719 (or 1148716 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10338417 is about 3215.3408839499. The cubic root of 10338417 is about 217.8468820701.

The spelling of 10338417 in words is "ten million, three hundred thirty-eight thousand, four hundred seventeen".

Divisors: 1 3 9 1148713 3446139 10338417