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983341328 = 243132063
BaseRepresentation
bin111010100111001…
…001100100010000
32112112022220201012
4322213021210100
54003213410303
6241324230052
733240156224
oct7247114420
92475286635
10983341328
11465085992
1223539b328
13128956898
1494852784
155b4e05d8
hex3a9c9910

983341328 has 40 divisors (see below), whose sum is σ = 1969683456. Its totient is φ = 475579680.

The previous prime is 983341327. The next prime is 983341339. The reversal of 983341328 is 823143389.

It is not an unprimeable number, because it can be changed into a prime (983341321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 475625 + ... + 477687.

Almost surely, 2983341328 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 983341328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984841728).

983341328 is an abundant number, since it is smaller than the sum of its proper divisors (986342128).

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

983341328 is an equidigital number, since it uses as much as digits as its factorization.

983341328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2096 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 983341328 is about 31358.2736769740. The cubic root of 983341328 is about 994.4159861616.

The spelling of 983341328 in words is "nine hundred eighty-three million, three hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 2063 3844 4126 7688 8252 15376 16504 29791 33008 59582 63953 119164 127906 238328 255812 476656 511624 1023248 1982543 3965086 7930172 15860344 31720688 61458833 122917666 245835332 491670664 983341328