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1349376 = 2837251
BaseRepresentation
bin101001001011100000000
32112112222220
411021130000
5321140001
644531040
714320020
oct5113400
92475886
101349376
11841896
12550a80
13383262
14271a80
151b9c36
hex149700

1349376 has 72 divisors (see below), whose sum is σ = 4120704. Its totient is φ = 384000.

The previous prime is 1349371. The next prime is 1349393. The reversal of 1349376 is 6739431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349371) 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 7 ways as a sum of consecutive naturals, for example, 5251 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (57232).

21349376 is an apocalyptic number.

1349376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060352).

1349376 is an abundant number, since it is smaller than the sum of its proper divisors (2771328).

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

1349376 is an equidigital number, since it uses as much as digits as its factorization.

1349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 1349376 is about 1161.6264459799. The cubic root of 1349376 is about 110.5039139226.

The spelling of 1349376 in words is "one million, three hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 251 256 336 384 448 502 672 753 768 896 1004 1344 1506 1757 1792 2008 2688 3012 3514 4016 5271 5376 6024 7028 8032 10542 12048 14056 16064 21084 24096 28112 32128 42168 48192 56224 64256 84336 96384 112448 168672 192768 224896 337344 449792 674688 1349376