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1334016 = 2833193
BaseRepresentation
bin101000101101100000000
32111202221000
411011230000
5320142031
644332000
714224155
oct5055400
92452830
101334016
118312a2
12544000
13379278
1426a22c
151b53e6
hex145b00

1334016 has 72 divisors (see below), whose sum is σ = 3965360. Its totient is φ = 442368.

The previous prime is 1333999. The next prime is 1334057. The reversal of 1334016 is 6104331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1334016.

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 7 ways as a sum of consecutive naturals, for example, 6816 + ... + 7008.

21334016 is an apocalyptic number.

1334016 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 1334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982680).

1334016 is an abundant number, since it is smaller than the sum of its proper divisors (2631344).

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

1334016 is an equidigital number, since it uses as much as digits as its factorization.

1334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1334016 is about 1154.9961038895. The cubic root of 1334016 is about 110.0830227221.

Adding to 1334016 its reverse (6104331), we get a palindrome (7438347).

The spelling of 1334016 in words is "one million, three hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 193 216 256 288 384 386 432 576 579 768 772 864 1152 1158 1544 1728 1737 2304 2316 3088 3456 3474 4632 5211 6176 6912 6948 9264 10422 12352 13896 18528 20844 24704 27792 37056 41688 49408 55584 74112 83376 111168 148224 166752 222336 333504 444672 667008 1334016