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1344640 = 27511191
BaseRepresentation
bin101001000010010000000
32112022111111
411020102000
5321012030
644453104
714300143
oct5102200
92468444
101344640
11839280
1254a194
1338105b
1427005a
151b862a
hex148480

1344640 has 64 divisors (see below), whose sum is σ = 3525120. Its totient is φ = 486400.

The previous prime is 1344601. The next prime is 1344641. The reversal of 1344640 is 464431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1344641) 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, 6945 + ... + 7135.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

21344640 is an apocalyptic number.

1344640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560).

1344640 is an abundant number, since it is smaller than the sum of its proper divisors (2180480).

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

1344640 is a wasteful number, since it uses less digits than its factorization.

1344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1344640 is about 1159.5861330664. The cubic root of 1344640 is about 110.3744812544.

It can be divided in two parts, 134 and 4640, that added together give a palindrome (4774).

The spelling of 1344640 in words is "one million, three hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 191 220 320 352 382 440 640 704 764 880 955 1408 1528 1760 1910 2101 3056 3520 3820 4202 6112 7040 7640 8404 10505 12224 15280 16808 21010 24448 30560 33616 42020 61120 67232 84040 122240 134464 168080 268928 336160 672320 1344640