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2323668384 = 253419291627
BaseRepresentation
bin1000101010000000…
…0101110110100000
312222221101120210000
42022200011312200
514224324342014
61022324140000
7111403566252
oct21240056640
95887346700
102323668384
11a927174a4
1254a237600
132b054120b
1418086dcd2
15d8ee9509
hex8a805da0

2323668384 has 240 divisors, whose sum is σ = 7446146400. Its totient is φ = 708051456.

The previous prime is 2323668367. The next prime is 2323668401. The reversal of 2323668384 is 4838663232.

2323668384 is a `hidden beast` number, since 232 + 36 + 6 + 8 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (2323668367) and next prime (2323668401).

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

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 39 ways as a sum of consecutive naturals, for example, 1427379 + ... + 1429005.

It is an arithmetic number, because the mean of its divisors is an integer number (31025610).

Almost surely, 22323668384 is an apocalyptic number.

2323668384 is a gapful number since it is divisible by the number (24) 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 2323668384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723073200).

2323668384 is an abundant number, since it is smaller than the sum of its proper divisors (5122478016).

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

2323668384 is a wasteful number, since it uses less digits than its factorization.

2323668384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1680 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 2323668384 is about 48204.4436125965. The cubic root of 2323668384 is about 1324.5185641931.

The spelling of 2323668384 in words is "two billion, three hundred twenty-three million, six hundred sixty-eight thousand, three hundred eighty-four".