Search a number
-
+
730324100 = 2252115312527
BaseRepresentation
bin101011100001111…
…101110010000100
31212220020022022202
4223201331302010
52443430332400
6200245214032
724045436532
oct5341756204
91786208282
10730324100
11345281340
12184701318
13b83c8a4c
146cdcd152
15441b24d5
hex2b87dc84

730324100 has 72 divisors (see below), whose sum is σ = 1761637248. Its totient is φ = 260540800.

The previous prime is 730324043. The next prime is 730324141. The reversal of 730324100 is 1423037.

730324100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52037 + ... + 64563.

It is an arithmetic number, because the mean of its divisors is an integer number (24467184).

Almost surely, 2730324100 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 730324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880818624).

730324100 is an abundant number, since it is smaller than the sum of its proper divisors (1031313148).

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

730324100 is a wasteful number, since it uses less digits than its factorization.

730324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12605 (or 12598 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 730324100 is about 27024.5092462379. The cubic root of 730324100 is about 900.5445675486.

Adding to 730324100 its reverse (1423037), we get a palindrome (731747137).

The spelling of 730324100 in words is "seven hundred thirty million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 12527 14575 25054 29150 50108 58300 62635 125270 137797 250540 275594 313175 551188 626350 663931 688985 1252700 1327862 1377970 2655724 2755940 3319655 3444925 6639310 6889850 7303241 13278620 13779700 14606482 16598275 29212964 33196550 36516205 66393100 73032410 146064820 182581025 365162050 730324100