1411344 has 105 divisors (see below), whose sum is σ = 4506439. Its totient is φ = 427680.

The previous prime is 1411331. The next prime is 1411369. The reversal of 1411344 is 4431141.

The square root of 1411344 is 1188.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a Duffinian number.

Its product of digits (192) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 128299 + ... + 128309.

2^{1411344} is an apocalyptic number.

1411344 is the 1188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1411344

1411344 is an abundant number, since it is smaller than the sum of its proper divisors (3095095).

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

1411344 is an equidigital number, since it uses as much as digits as its factorization.

1411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 16 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The cubic root of 1411344 is about 112.1702343187.

Adding to 1411344 its reverse (4431141), we get a palindrome (5842485).

It can be divided in two parts, 141 and 1344, that added together give a triangular number (1485 = T_{54}).

The spelling of 1411344 in words is "one million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 243 264 297 324 363 396 432 484 486 528 594 648 726 729 792 891 968 972 1089 1188 1296 1452 1458 1584 1782 1936 1944 2178 2376 2673 2904 2916 3267 3564 3888 4356 4752 5346 5808 5832 6534 7128 8019 8712 9801 10692 11664 13068 14256 16038 17424 19602 21384 26136 29403 32076 39204 42768 52272 58806 64152 78408 88209 117612 128304 156816 176418 235224 352836 470448 705672 1411344

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