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934327680 = 273511134183
BaseRepresentation
bin110111101100001…
…011010110000000
32102010002202121220
4313230023112000
53403141441210
6232413515040
732103440256
oct6754132600
92363082556
10934327680
1143a449240
12220aa2a80
1311b755420
148c1345d6
155705cc70
hex37b0b580

934327680 has 512 divisors, whose sum is σ = 3627348480. Its totient is φ = 201523200.

The previous prime is 934327673. The next prime is 934327727. The reversal of 934327680 is 86723439.

934327680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9343276802 = 1745936427228364800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11256919 + ... + 11257001.

It is an arithmetic number, because the mean of its divisors is an integer number (7084665).

Almost surely, 2934327680 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 934327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813674240).

934327680 is an abundant number, since it is smaller than the sum of its proper divisors (2693020800).

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

934327680 is a wasteful number, since it uses less digits than its factorization.

934327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 934327680 is about 30566.7741183135. The cubic root of 934327680 is about 977.6117327468.

The spelling of 934327680 in words is "nine hundred thirty-four million, three hundred twenty-seven thousand, six hundred eighty".