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1334528 = 2813401
BaseRepresentation
bin101000101110100000000
32111210121222
411011310000
5320201103
644334212
714225516
oct5056400
92453558
101334528
11831718
12544368
13379580
1426a4b6
151b5638
hex145d00

1334528 has 36 divisors (see below), whose sum is σ = 2875908. Its totient is φ = 614400.

The previous prime is 1334507. The next prime is 1334537. The reversal of 1334528 is 8254331.

It can be written as a sum of positive squares in 2 ways, for example, as 861184 + 473344 = 928^2 + 688^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 1 + 3 + 39 + 49 + 52 + 220 + 84 .

It is a junction number, because it is equal to n+sod(n) for n = 1334497 and 1334506.

It is a congruent number.

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, 3128 + ... + 3528.

21334528 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 1334528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437954).

1334528 is an abundant number, since it is smaller than the sum of its proper divisors (1541380).

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

1334528 is an equidigital number, since it uses as much as digits as its factorization.

1334528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 1334528 is about 1155.2177283958. The cubic root of 1334528 is about 110.0971043369.

Adding to 1334528 its reverse (8254331), we get a palindrome (9588859).

The spelling of 1334528 in words is "one million, three hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 401 416 802 832 1604 1664 3208 3328 5213 6416 10426 12832 20852 25664 41704 51328 83408 102656 166816 333632 667264 1334528