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2324107680 = 2535231311607
BaseRepresentation
bin1000101010000111…
…0001000110100000
312222222012220101020
42022201301012200
514224432421210
61022341405440
7111410406066
oct21241610640
95888186336
102324107680
11a92997554
1254a409880
132b066615b
14180946036
15d9084770
hex8a8711a0

2324107680 has 192 divisors, whose sum is σ = 7702345728. Its totient is φ = 587924480.

The previous prime is 2324107679. The next prime is 2324107693. The reversal of 2324107680 is 867014232.

It is a Cunningham number, because it is equal to 482092-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445437 + ... + 1447043.

It is an arithmetic number, because the mean of its divisors is an integer number (40116384).

Almost surely, 22324107680 is an apocalyptic number.

2324107680 is a gapful number since it is divisible by the number (20) 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 2324107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851172864).

2324107680 is an abundant number, since it is smaller than the sum of its proper divisors (5378238048).

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

2324107680 is a wasteful number, since it uses less digits than its factorization.

2324107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2324107680 is about 48208.9999896285. Note that the first 4 decimals coincide. The cubic root of 2324107680 is about 1324.6020269120.

The spelling of 2324107680 in words is "two billion, three hundred twenty-four million, one hundred seven thousand, six hundred eighty".