Search a number
-
+
730304100 = 223452293109
BaseRepresentation
bin101011100001111…
…000111001100100
31212220012021220000
4223201320321210
52443424212400
6200244541300
724045324321
oct5341707144
91786167800
10730304100
11345268309
121846b1830
13b83bc906
146cdc5b48
15441ab600
hex2b878e64

730304100 has 180 divisors, whose sum is σ = 2449778100. Its totient is φ = 187971840.

The previous prime is 730304077. The next prime is 730304111. The reversal of 730304100 is 1403037.

730304100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 65901924 + 664402176 = 8118^2 + 25776^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 233346 + ... + 236454.

Almost surely, 2730304100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224889050).

730304100 is an abundant number, since it is smaller than the sum of its proper divisors (1719474000).

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

730304100 is a wasteful number, since it uses less digits than its factorization.

730304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 730304100 is about 27024.1392092329. The cubic root of 730304100 is about 900.5363469720.

Adding to 730304100 its reverse (1403037), we get a palindrome (731707137).

The spelling of 730304100 in words is "seven hundred thirty million, three hundred four thousand, one hundred".