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2430328320 = 2933575023
BaseRepresentation
bin1001000011011011…
…1101111000000000
320021101002110201000
42100312331320000
514434131001240
61041054212000
7114140310210
oct22066757000
96241073630
102430328320
111037947702
12579ab4000
132c96771c4
14190ab6240
15e3567430
hex90dbde00

2430328320 has 320 divisors, whose sum is σ = 9867939840. Its totient is φ = 555393024.

The previous prime is 2430328291. The next prime is 2430328321. The reversal of 2430328320 is 238230342.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430328321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481329 + ... + 486351.

It is an arithmetic number, because the mean of its divisors is an integer number (30837312).

Almost surely, 22430328320 is an apocalyptic number.

2430328320 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 2430328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933969920).

2430328320 is an abundant number, since it is smaller than the sum of its proper divisors (7437611520).

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

2430328320 is an equidigital number, since it uses as much as digits as its factorization.

2430328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2430328320 is about 49298.3602161370. The cubic root of 2430328320 is about 1344.4819699979.

Adding to 2430328320 its reverse (238230342), we get a palindrome (2668558662).

The spelling of 2430328320 in words is "two billion, four hundred thirty million, three hundred twenty-eight thousand, three hundred twenty".