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5334443400 = 23352111379787
BaseRepresentation
bin1001111011111010…
…10010010110001000
3111202202200210122210
410331331102112020
541411104142100
62241155345120
7246123010056
oct47575222610
914682623583
105334443400
112298177310
12104a5b21a0
13670228cb0
1438867d1d6
152134bac50
hex13df52588

5334443400 has 384 divisors, whose sum is σ = 19698739200. Its totient is φ = 1177113600.

The previous prime is 5334443381. The next prime is 5334443489. The reversal of 5334443400 is 43444335.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6777807 + ... + 6778593.

It is an arithmetic number, because the mean of its divisors is an integer number (51298800).

Almost surely, 25334443400 is an apocalyptic number.

5334443400 is a gapful number since it is divisible by the number (50) 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 5334443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849369600).

5334443400 is an abundant number, since it is smaller than the sum of its proper divisors (14364295800).

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

5334443400 is a wasteful number, since it uses less digits than its factorization.

5334443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 5334443400 is about 73037.2740455173. The cubic root of 5334443400 is about 1747.2821376330.

Adding to 5334443400 its reverse (43444335), we get a palindrome (5377887735).

The spelling of 5334443400 in words is "five billion, three hundred thirty-four million, four hundred forty-three thousand, four hundred".