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5734105344 = 283411231093
BaseRepresentation
bin1010101011100011…
…11000000100000000
3112210121201201210000
411111301320010000
543220412332334
62344553440000
7262045043202
oct52561700400
915717651700
105734105344
112482831240
121140410000
13704c7c756
143c5796772
15238614299
hex155c78100

5734105344 has 360 divisors, whose sum is σ = 19481216832. Its totient is φ = 1660538880.

The previous prime is 5734105343. The next prime is 5734105369. The reversal of 5734105344 is 4435014375.

5734105344 is a `hidden beast` number, since 573 + 41 + 0 + 5 + 3 + 44 = 666.

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 = 5734105299 and 5734105308.

It is not an unprimeable number, because it can be changed into a prime (5734105343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5245662 + ... + 5246754.

Almost surely, 25734105344 is an apocalyptic number.

5734105344 is a gapful number since it is divisible by the number (54) 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 5734105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9740608416).

5734105344 is an abundant number, since it is smaller than the sum of its proper divisors (13747111488).

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

5734105344 is a wasteful number, since it uses less digits than its factorization.

5734105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5734105344 is about 75723.8756535876. The cubic root of 5734105344 is about 1789.8716494010.

The spelling of 5734105344 in words is "five billion, seven hundred thirty-four million, one hundred five thousand, three hundred forty-four".