Search a number
-
+
5734400000 = 218557
BaseRepresentation
bin1010101011100110…
…00000000000000000
3112210122021200222012
411111303000000000
543221001300000
62345004032052
7262050411230
oct52563000000
915718250865
105734400000
112482a1265a
121140532628
137050538c4
143c5831cc0
15238671735
hex155cc0000

5734400000 has 228 divisors, whose sum is σ = 16382920176. Its totient is φ = 1966080000.

The previous prime is 5734399991. The next prime is 5734400003. The reversal of 5734400000 is 44375.

It is not an unprimeable number, because it can be changed into a prime (5734400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819199997 + ... + 819200003.

Almost surely, 25734400000 is an apocalyptic number.

5734400000 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 5734400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191460088).

5734400000 is an abundant number, since it is smaller than the sum of its proper divisors (10648520176).

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

5734400000 is an frugal number, since it uses more digits than its factorization.

5734400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 5734400000 is about 75725.8212236751. The cubic root of 5734400000 is about 1789.9023073302.

Adding to 5734400000 its reverse (44375), we get a palindrome (5734444375).

The spelling of 5734400000 in words is "five billion, seven hundred thirty-four million, four hundred thousand".