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1329417 = 32178689
BaseRepresentation
bin101000100100100001001
32111112121200
411010210021
5320020132
644254413
714204565
oct5044411
92445550
101329417
118288a1
12541409
1337714b
142686a5
151b3d7c
hex144909

1329417 has 12 divisors (see below), whose sum is σ = 2033460. Its totient is φ = 834048.

The previous prime is 1329407. The next prime is 1329437. The reversal of 1329417 is 7149231.

It can be written as a sum of positive squares in 2 ways, for example, as 1121481 + 207936 = 1059^2 + 456^2 .

It is not a de Polignac number, because 1329417 - 26 = 1329353 is a prime.

1329417 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1329407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4192 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (169455).

21329417 is an apocalyptic number.

1329417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1329417 is a deficient number, since it is larger than the sum of its proper divisors (704043).

1329417 is a wasteful number, since it uses less digits than its factorization.

1329417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712 (or 8709 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 1329417 is about 1153.0034692055. The cubic root of 1329417 is about 109.9563738847.

The spelling of 1329417 in words is "one million, three hundred twenty-nine thousand, four hundred seventeen".

Divisors: 1 3 9 17 51 153 8689 26067 78201 147713 443139 1329417