Search a number
-
+
730296 = 23347223
BaseRepresentation
bin10110010010010111000
31101002210000
42302102320
5141332141
623353000
76131100
oct2622270
91332700
10730296
11459756
122b2760
131c7538
14150200
15e65b6
hexb24b8

730296 has 120 divisors (see below), whose sum is σ = 2482920. Its totient is φ = 199584.

The previous prime is 730283. The next prime is 730297. The reversal of 730296 is 692037.

730296 = 153 + 163 + ... + 413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730297) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31741 + ... + 31763.

It is an arithmetic number, because the mean of its divisors is an integer number (20691).

2730296 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 730296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241460).

730296 is an abundant number, since it is smaller than the sum of its proper divisors (1752624).

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

730296 is a wasteful number, since it uses less digits than its factorization.

730296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 730296 is about 854.5735778738. The cubic root of 730296 is about 90.0533017596.

It can be divided in two parts, 7 and 30296, that added together give a palindrome (30303).

The spelling of 730296 in words is "seven hundred thirty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 49 54 56 63 69 72 81 84 92 98 108 126 138 147 161 162 168 184 189 196 207 216 252 276 294 322 324 378 392 414 441 483 504 552 567 588 621 644 648 756 828 882 966 1127 1134 1176 1242 1288 1323 1449 1512 1656 1764 1863 1932 2254 2268 2484 2646 2898 3381 3528 3726 3864 3969 4347 4508 4536 4968 5292 5796 6762 7452 7938 8694 9016 10143 10584 11592 13041 13524 14904 15876 17388 20286 26082 27048 30429 31752 34776 40572 52164 60858 81144 91287 104328 121716 182574 243432 365148 730296