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1349248 = 2783127
BaseRepresentation
bin101001001011010000000
32112112211011
411021122000
5321133443
644530304
714316445
oct5113200
92475734
101349248
1184178a
12550994
13383194
142719cc
151b9b9d
hex149680

1349248 has 32 divisors (see below), whose sum is σ = 2741760. Its totient is φ = 661248.

The previous prime is 1349233. The next prime is 1349251. The reversal of 1349248 is 8429431.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10561 + ... + 10687.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

21349248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880).

1349248 is an abundant number, since it is smaller than the sum of its proper divisors (1392512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1349248 is an equidigital number, since it uses as much as digits as its factorization.

1349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 1349248 is about 1161.5713495089. The cubic root of 1349248 is about 110.5004197277.

The spelling of 1349248 in words is "one million, three hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 83 127 128 166 254 332 508 664 1016 1328 2032 2656 4064 5312 8128 10541 10624 16256 21082 42164 84328 168656 337312 674624 1349248