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1344768 = 28317103
BaseRepresentation
bin101001000010100000000
32112022200020
411020110000
5321013033
644453440
714300415
oct5102400
92468606
101344768
11839387
1254a280
13381129
1427010c
151b86b3
hex148500

1344768 has 72 divisors (see below), whose sum is σ = 3826368. Its totient is φ = 417792.

The previous prime is 1344767. The next prime is 1344779. The reversal of 1344768 is 8674431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344767) 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, 13005 + ... + 13107.

It is an arithmetic number, because the mean of its divisors is an integer number (53144).

21344768 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 1344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913184).

1344768 is an abundant number, since it is smaller than the sum of its proper divisors (2481600).

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

1344768 is a wasteful number, since it uses less digits than its factorization.

1344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 1344768 is about 1159.6413238584. The cubic root of 1344768 is about 110.3779834273.

Multiplying 1344768 by its sum of digits (33), we get a palindrome (44377344).

It can be divided in two parts, 1344 and 768, that added together give a palindrome (2112).

The spelling of 1344768 in words is "one million, three hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 103 128 136 192 204 206 256 272 309 384 408 412 544 618 768 816 824 1088 1236 1632 1648 1751 2176 2472 3264 3296 3502 4352 4944 5253 6528 6592 7004 9888 10506 13056 13184 14008 19776 21012 26368 28016 39552 42024 56032 79104 84048 112064 168096 224128 336192 448256 672384 1344768