Search a number
-
+
347328 = 263467
BaseRepresentation
bin1010100110011000000
3122122110000
41110303000
542103303
611240000
72644422
oct1246300
9578400
10347328
11217a53
12149000
13c2127
1490812
156cda3
hex54cc0

347328 has 70 divisors (see below), whose sum is σ = 1044956. Its totient is φ = 114048.

The previous prime is 347317. The next prime is 347329. The reversal of 347328 is 823743.

347328 is digitally balanced in base 3, 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 (27).

Its product of digits (4032) is a multiple of the sum of its prime divisors (72).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 347328.

It is not an unprimeable number, because it can be changed into a prime (347329) by changing a digit.

347328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5151 + ... + 5217.

2347328 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 347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522478).

347328 is an abundant number, since it is smaller than the sum of its proper divisors (697628).

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

347328 is an equidigital number, since it uses as much as digits as its factorization.

347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 347328 is about 589.3453995748. The cubic root of 347328 is about 70.2931920318.

The spelling of 347328 in words is "three hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 162 192 201 216 268 288 324 402 432 536 576 603 648 804 864 1072 1206 1296 1608 1728 1809 2144 2412 2592 3216 3618 4288 4824 5184 5427 6432 7236 9648 10854 12864 14472 19296 21708 28944 38592 43416 57888 86832 115776 173664 347328