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4740323328 = 211321373271
BaseRepresentation
bin1000110101000101…
…11001100000000000
3110020100202101010200
410122202321200000
534202010321303
62102213325200
7225320040426
oct43242714000
913210671120
104740323328
112012875094
12b03636800
135a710b860
1432d7c7116
151cb2603a3
hex11a8b9800

4740323328 has 288 divisors, whose sum is σ = 15001197120. Its totient is φ = 1433272320.

The previous prime is 4740323323. The next prime is 4740323351. The reversal of 4740323328 is 8233230474.

4740323328 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 323 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4740323292 and 4740323301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4740323323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17491833 + ... + 17492103.

It is an arithmetic number, because the mean of its divisors is an integer number (52087490).

Almost surely, 24740323328 is an apocalyptic number.

4740323328 is a gapful number since it is divisible by the number (48) 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 4740323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500598560).

4740323328 is an abundant number, since it is smaller than the sum of its proper divisors (10260873792).

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

4740323328 is a wasteful number, since it uses less digits than its factorization.

4740323328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4740323328 is about 68850.0060130716. The cubic root of 4740323328 is about 1679.8454279556.

The spelling of 4740323328 in words is "four billion, seven hundred forty million, three hundred twenty-three thousand, three hundred twenty-eight".