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1314304 = 2917151
BaseRepresentation
bin101000000111000000000
32110202212221
411000320000
5314024204
644100424
714112535
oct5007000
92422787
101314304
11818502
12534714
133702c4
14262d8c
151ae654
hex140e00

1314304 has 40 divisors (see below), whose sum is σ = 2798928. Its totient is φ = 614400.

The previous prime is 1314301. The next prime is 1314317. The reversal of 1314304 is 4034131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8629 + ... + 8779.

21314304 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 1314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399464).

1314304 is an abundant number, since it is smaller than the sum of its proper divisors (1484624).

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

1314304 is an equidigital number, since it uses as much as digits as its factorization.

1314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1314304 is about 1146.4309835311. The cubic root of 1314304 is about 109.5381184054.

Adding to 1314304 its reverse (4034131), we get a palindrome (5348435).

The spelling of 1314304 in words is "one million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 151 256 272 302 512 544 604 1088 1208 2176 2416 2567 4352 4832 5134 8704 9664 10268 19328 20536 38656 41072 77312 82144 164288 328576 657152 1314304