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328356 = 223271303
BaseRepresentation
bin1010000001010100100
3121200102100
41100022210
541001411
611012100
72535210
oct1201244
9550370
10328356
11204776
1213a030
13b65c2
1487940
1567456
hex502a4

328356 has 36 divisors (see below), whose sum is σ = 949312. Its totient is φ = 93744.

The previous prime is 328343. The next prime is 328357. The reversal of 328356 is 653823.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328356.

It is not an unprimeable number, because it can be changed into a prime (328357) by changing a digit.

328356 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 11 ways as a sum of consecutive naturals, for example, 400 + ... + 903.

2328356 is an apocalyptic number.

328356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

328356 is an abundant number, since it is smaller than the sum of its proper divisors (620956).

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

328356 is a wasteful number, since it uses less digits than its factorization.

328356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1315 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 328356 is about 573.0235597251. The cubic root of 328356 is about 68.9892863013.

Subtracting from 328356 its sum of digits (27), we obtain a square (328329 = 5732).

The spelling of 328356 in words is "three hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1303 2606 3909 5212 7818 9121 11727 15636 18242 23454 27363 36484 46908 54726 82089 109452 164178 328356