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1314048 = 2832959
BaseRepresentation
bin101000000110100000000
32110202112110
411000310000
5314022143
644055320
714112021
oct5006400
92422473
101314048
1181829a
12534540
13370158
14262c48
151ae533
hex140d00

1314048 has 72 divisors (see below), whose sum is σ = 3679200. Its totient is φ = 415744.

The previous prime is 1314043. The next prime is 1314101. The reversal of 1314048 is 8404131.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314043) 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 7 ways as a sum of consecutive naturals, for example, 22243 + ... + 22301.

It is an arithmetic number, because the mean of its divisors is an integer number (51100).

21314048 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 1314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839600).

1314048 is an abundant number, since it is smaller than the sum of its proper divisors (2365152).

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

1314048 is an equidigital number, since it uses as much as digits as its factorization.

1314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1314048 is about 1146.3193272383. The cubic root of 1314048 is about 109.5310060024.

Adding to 1314048 its reverse (8404131), we get a palindrome (9718179).

The spelling of 1314048 in words is "one million, three hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 59 64 87 96 116 118 128 174 177 192 232 236 256 348 354 384 464 472 696 708 768 928 944 1392 1416 1711 1856 1888 2784 2832 3422 3712 3776 5133 5568 5664 6844 7424 7552 10266 11136 11328 13688 15104 20532 22272 22656 27376 41064 45312 54752 82128 109504 164256 219008 328512 438016 657024 1314048