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326368 = 2573147
BaseRepresentation
bin1001111101011100000
3121120200201
41033223200
540420433
610554544
72526340
oct1175340
9546621
10326368
11203229
12138a54
13b5723
1486d20
1566a7d
hex4fae0

326368 has 48 divisors (see below), whose sum is σ = 774144. Its totient is φ = 132480.

The previous prime is 326353. The next prime is 326369. The reversal of 326368 is 863623.

326368 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6921 + ... + 6967.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2326368 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 326368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

326368 is an abundant number, since it is smaller than the sum of its proper divisors (447776).

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

326368 is a wasteful number, since it uses less digits than its factorization.

326368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 326368 is about 571.2862679953. The cubic root of 326368 is about 68.8497746893.

It can be divided in two parts, 32 and 6368, that added together give a square (6400 = 802).

The spelling of 326368 in words is "three hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 47 56 62 94 112 124 188 217 224 248 329 376 434 496 658 752 868 992 1316 1457 1504 1736 2632 2914 3472 5264 5828 6944 10199 10528 11656 20398 23312 40796 46624 81592 163184 326368