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1989344 = 25783107
BaseRepresentation
bin111100101101011100000
310202001212102
413211223200
51002124334
6110345532
722623560
oct7455340
93661772
101989344
111139695
127bb2a8
13548636
1439ada0
1529467e
hex1e5ae0

1989344 has 48 divisors (see below), whose sum is σ = 4572288. Its totient is φ = 834432.

The previous prime is 1989341. The next prime is 1989353. The reversal of 1989344 is 4439891.

1989344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1989298 and 1989307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1989341) 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 7 ways as a sum of consecutive naturals, for example, 18539 + ... + 18645.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

21989344 is an apocalyptic number.

1989344 is a gapful number since it is divisible by the number (14) 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 1989344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144).

1989344 is an abundant number, since it is smaller than the sum of its proper divisors (2582944).

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

1989344 is a wasteful number, since it uses less digits than its factorization.

1989344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 1989344 is about 1410.4410657663. The cubic root of 1989344 is about 125.7679444292.

The spelling of 1989344 in words is "one million, nine hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 107 112 166 214 224 332 428 581 664 749 856 1162 1328 1498 1712 2324 2656 2996 3424 4648 5992 8881 9296 11984 17762 18592 23968 35524 62167 71048 124334 142096 248668 284192 497336 994672 1989344