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1944288 = 253243157
BaseRepresentation
bin111011010101011100000
310122210001200
413122223200
5444204123
6105401200
722345323
oct7325340
93583050
101944288
111108855
12799200
13530c88
143887ba
15286143
hex1daae0

1944288 has 72 divisors (see below), whose sum is σ = 5693688. Its totient is φ = 628992.

The previous prime is 1944287. The next prime is 1944311. The reversal of 1944288 is 8824491.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1944281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12306 + ... + 12462.

It is an arithmetic number, because the mean of its divisors is an integer number (79079).

21944288 is an apocalyptic number.

1944288 is a gapful number since it is divisible by the number (18) 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 1944288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846844).

1944288 is an abundant number, since it is smaller than the sum of its proper divisors (3749400).

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

1944288 is a wasteful number, since it uses less digits than its factorization.

1944288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1944288 is about 1394.3772803657. The cubic root of 1944288 is about 124.8111922901.

The spelling of 1944288 in words is "one million, nine hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 157 172 258 288 314 344 387 471 516 628 688 774 942 1032 1256 1376 1413 1548 1884 2064 2512 2826 3096 3768 4128 5024 5652 6192 6751 7536 11304 12384 13502 15072 20253 22608 27004 40506 45216 54008 60759 81012 108016 121518 162024 216032 243036 324048 486072 648096 972144 1944288