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1344144 = 24341683
BaseRepresentation
bin101001000001010010000
32112021211010
411020022100
5321003034
644450520
714265534
oct5101220
92467733
101344144
1183896a
12549a40
13380a69
1426dbc4
151b83e9
hex148290

1344144 has 40 divisors (see below), whose sum is σ = 3562272. Its totient is φ = 436480.

The previous prime is 1344127. The next prime is 1344151. The reversal of 1344144 is 4414431.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1344144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1627 + ... + 2309.

21344144 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 1344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136).

1344144 is an abundant number, since it is smaller than the sum of its proper divisors (2218128).

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

1344144 is a wasteful number, since it uses less digits than its factorization.

1344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 1344144 is about 1159.3722439320. The cubic root of 1344144 is about 110.3609082347.

Adding to 1344144 its reverse (4414431), we get a palindrome (5758575).

It can be divided in two parts, 134 and 4144, that added together give a triangular number (4278 = T92).

The spelling of 1344144 in words is "one million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 683 984 1366 1968 2049 2732 4098 5464 8196 10928 16392 28003 32784 56006 84009 112012 168018 224024 336036 448048 672072 1344144