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989340000 = 25354111499
BaseRepresentation
bin111010111110000…
…010000101100000
32112221121200100020
4322332002011200
54011232340000
6242100553440
733342152115
oct7276020540
92487550306
10989340000
11468502870
122373b2880
13129c770ac
149557490c
155bcc7ba0
hex3af82160

989340000 has 240 divisors, whose sum is σ = 3542616000. Its totient is φ = 239680000.

The previous prime is 989339977. The next prime is 989340031. The reversal of 989340000 is 43989.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×9893400003 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659251 + ... + 660749.

It is an arithmetic number, because the mean of its divisors is an integer number (14760900).

Almost surely, 2989340000 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 989340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771308000).

989340000 is an abundant number, since it is smaller than the sum of its proper divisors (2553276000).

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

989340000 is a wasteful number, since it uses less digits than its factorization.

989340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 989340000 is about 31453.7756080252. The cubic root of 989340000 is about 996.4339651783.

Adding to 989340000 its reverse (43989), we get a palindrome (989383989).

The spelling of 989340000 in words is "nine hundred eighty-nine million, three hundred forty thousand".