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32340960000 = 28325437607
BaseRepresentation
bin11110000111101010…
…111110001100000000
310002110220012222210100
4132013222332030000
51012213241210000
622505055002400
72223303424056
oct360752761400
9102426188710
1032340960000
11127966a0a18
126326b09400
13308537ba2b
1417cb2da1d6
15c943dba00
hex787abe300

32340960000 has 540 divisors, whose sum is σ = 119867780032. Its totient is φ = 8377344000.

The previous prime is 32340959951. The next prime is 32340960061. The reversal of 32340960000 is 6904323.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53279697 + ... + 53280303.

Almost surely, 232340960000 is an apocalyptic number.

32340960000 is a gapful number since it is divisible by the number (30) 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 32340960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59933890016).

32340960000 is an abundant number, since it is smaller than the sum of its proper divisors (87526820032).

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

32340960000 is an equidigital number, since it uses as much as digits as its factorization.

32340960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 32340960000 in words is "thirty-two billion, three hundred forty million, nine hundred sixty thousand".