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1337409 = 32181821
BaseRepresentation
bin101000110100001000001
32111221120200
411012201001
5320244114
644355413
714240103
oct5064101
92457520
101337409
118338a7
12545b69
1337a988
1426b573
151b6409
hex146841

1337409 has 12 divisors (see below), whose sum is σ = 1944852. Its totient is φ = 885600.

The previous prime is 1337389. The next prime is 1337411. The reversal of 1337409 is 9047331.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 1199025 = 372^2 + 1095^2 .

It is not a de Polignac number, because 1337409 - 25 = 1337377 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337419) 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, 1219 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (162071).

21337409 is an apocalyptic number.

It is an amenable number.

1337409 is a deficient number, since it is larger than the sum of its proper divisors (607443).

1337409 is a wasteful number, since it uses less digits than its factorization.

1337409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1337409 is about 1156.4640072220. The cubic root of 1337409 is about 110.1762738460.

The spelling of 1337409 in words is "one million, three hundred thirty-seven thousand, four hundred nine".

Divisors: 1 3 9 181 543 821 1629 2463 7389 148601 445803 1337409