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1334304 = 253241113
BaseRepresentation
bin101000101110000100000
32111210022200
411011300200
5320144204
644333200
714225046
oct5056040
92453280
101334304
11831534
12544200
1337943a
1426a396
151b5539
hex145c20

1334304 has 72 divisors (see below), whose sum is σ = 3921372. Its totient is φ = 430080.

The previous prime is 1334297. The next prime is 1334327. The reversal of 1334304 is 4034331.

It can be written as a sum of positive squares in 2 ways, for example, as 898704 + 435600 = 948^2 + 660^2 .

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

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

It is an Ulam number.

It is a nialpdrome in base 6 and base 12.

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 11 ways as a sum of consecutive naturals, for example, 11752 + ... + 11864.

21334304 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 1334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960686).

1334304 is an abundant number, since it is smaller than the sum of its proper divisors (2587068).

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

1334304 is a wasteful number, since it uses less digits than its factorization.

1334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1334304 is about 1155.1207729065. The cubic root of 1334304 is about 110.0909440737.

Adding to 1334304 its reverse (4034331), we get a palindrome (5368635).

The spelling of 1334304 in words is "one million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 113 123 144 164 226 246 288 328 339 369 452 492 656 678 738 904 984 1017 1312 1356 1476 1808 1968 2034 2712 2952 3616 3936 4068 4633 5424 5904 8136 9266 10848 11808 13899 16272 18532 27798 32544 37064 41697 55596 74128 83394 111192 148256 166788 222384 333576 444768 667152 1334304