Search a number
-
+
730800000 = 273255729
BaseRepresentation
bin101011100011110…
…001111110000000
31212221010111010200
4223203301332000
52444041100000
6200303325200
724052461150
oct5343617600
91787114120
10730800000
11345576947
121848b0800
13b8534548
146d0b4760
1544258500
hex2b8f1f80

730800000 has 576 divisors, whose sum is σ = 3107613600. Its totient is φ = 161280000.

The previous prime is 730799957. The next prime is 730800001. The reversal of 730800000 is 8037.

730800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730800001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25199986 + ... + 25200014.

Almost surely, 2730800000 is an apocalyptic number.

730800000 is a gapful number since it is divisible by the number (70) 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 730800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553806800).

730800000 is an abundant number, since it is smaller than the sum of its proper divisors (2376813600).

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

730800000 is an equidigital number, since it uses as much as digits as its factorization.

730800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 730800000 is about 27033.3127825651. The cubic root of 730800000 is about 900.7401319125.

Adding to 730800000 its reverse (8037), we get a palindrome (730808037).

The spelling of 730800000 in words is "seven hundred thirty million, eight hundred thousand".