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326340 = 223257237
BaseRepresentation
bin1001111101011000100
3121120122200
41033223010
540420330
610554500
72526300
oct1175304
9546580
10326340
11203203
12138a30
13b5701
1486d00
1566a60
hex4fac4

326340 has 108 divisors (see below), whose sum is σ = 1182636. Its totient is φ = 72576.

The previous prime is 326323. The next prime is 326351. The reversal of 326340 is 43623.

326340 is a `hidden beast` number, since 32 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 112896 = 462^2 + 336^2 .

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

It is an unprimeable number.

326340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8802 + ... + 8838.

2326340 is an apocalyptic number.

326340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591318).

326340 is an abundant number, since it is smaller than the sum of its proper divisors (856296).

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

326340 is a wasteful number, since it uses less digits than its factorization.

326340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 326340 is about 571.2617613669. The cubic root of 326340 is about 68.8478056964.

Adding to 326340 its reverse (43623), we get a palindrome (369963).

It can be divided in two parts, 326 and 340, that added together give a palindrome (666).

The spelling of 326340 in words is "three hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 49 60 63 70 74 84 90 98 105 111 126 140 147 148 180 185 196 210 222 245 252 259 294 315 333 370 420 441 444 490 518 555 588 630 666 735 740 777 882 980 1036 1110 1260 1295 1332 1470 1554 1665 1764 1813 2205 2220 2331 2590 2940 3108 3330 3626 3885 4410 4662 5180 5439 6660 7252 7770 8820 9065 9324 10878 11655 15540 16317 18130 21756 23310 27195 32634 36260 46620 54390 65268 81585 108780 163170 326340