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681441984 = 2635431019
BaseRepresentation
bin101000100111011…
…111101011000000
31202111020211200000
4220213133223000
52343422120414
6151341400000
722613106216
oct5047375300
91674224600
10681441984
1131a7244a3
12170269000
13ab242412
1466706cb6
153ec58b09
hex289dfac0

681441984 has 168 divisors, whose sum is σ = 2074712640. Its totient is φ = 221647104.

The previous prime is 681441979. The next prime is 681441989. The reversal of 681441984 is 489144186.

681441984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (681441979) and next prime (681441989).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (681441989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668227 + ... + 669245.

It is an arithmetic number, because the mean of its divisors is an integer number (12349480).

Almost surely, 2681441984 is an apocalyptic number.

681441984 is a gapful number since it is divisible by the number (64) 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 681441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037356320).

681441984 is an abundant number, since it is smaller than the sum of its proper divisors (1393270656).

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

681441984 is a wasteful number, since it uses less digits than its factorization.

681441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1067 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 681441984 is about 26104.4437596360. The cubic root of 681441984 is about 879.9870797001.

The spelling of 681441984 in words is "six hundred eighty-one million, four hundred forty-one thousand, nine hundred eighty-four".