Search a number
-
+
730328430 = 235132236263
BaseRepresentation
bin101011100001111…
…110110101101110
31212220020112021010
4223201332311232
52443431002210
6200245250050
724045455256
oct5341766556
91786215233
10730328430
11345284617
12184703926
13b83caa00
146cdd0966
15441b3920
hex2b87ed6e

730328430 has 96 divisors (see below), whose sum is σ = 1980827136. Its totient is φ = 171929472.

The previous prime is 730328429. The next prime is 730328503. The reversal of 730328430 is 34823037.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113479 + ... + 119741.

It is an arithmetic number, because the mean of its divisors is an integer number (20633616).

Almost surely, 2730328430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730328430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990413568).

730328430 is an abundant number, since it is smaller than the sum of its proper divisors (1250498706).

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

730328430 is a wasteful number, since it uses less digits than its factorization.

730328430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 730328430 is about 27024.5893585823. The cubic root of 730328430 is about 900.5463472837.

The spelling of 730328430 in words is "seven hundred thirty million, three hundred twenty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 169 195 230 299 338 345 390 507 598 690 845 897 1014 1495 1690 1794 2535 2990 3887 4485 5070 6263 7774 8970 11661 12526 18789 19435 23322 31315 37578 38870 58305 62630 81419 93945 116610 144049 162838 187890 244257 288098 407095 432147 488514 720245 814190 864294 1058447 1221285 1440490 1872637 2116894 2160735 2442570 3175341 3745274 4321470 5292235 5617911 6350682 9363185 10584470 11235822 15876705 18726370 24344281 28089555 31753410 48688562 56179110 73032843 121721405 146065686 243442810 365164215 730328430