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326648 = 23719307
BaseRepresentation
bin1001111101111111000
3121121002002
41033233320
540423043
611000132
72530220
oct1175770
9547062
10326648
11203463
12139048
13b58aa
1487080
1566bb8
hex4fbf8

326648 has 32 divisors (see below), whose sum is σ = 739200. Its totient is φ = 132192.

The previous prime is 326633. The next prime is 326657. The reversal of 326648 is 846623.

326648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 326648.

It is a congruent number.

It is an unprimeable number.

326648 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2326648 is an apocalyptic number.

326648 is a gapful number since it is divisible by the number (38) 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 326648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369600).

326648 is an abundant number, since it is smaller than the sum of its proper divisors (412552).

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

326648 is a wasteful number, since it uses less digits than its factorization.

326648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 326648 is about 571.5312764845. The cubic root of 326648 is about 68.8694584273.

The spelling of 326648 in words is "three hundred twenty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 307 532 614 1064 1228 2149 2456 4298 5833 8596 11666 17192 23332 40831 46664 81662 163324 326648