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328302 = 232132361
BaseRepresentation
bin1010000001001101110
3121200100100
41100021232
541001202
611011530
72535102
oct1201156
9550310
10328302
11204727
12139ba6
13b6580
1487902
156741c
hex5026e

328302 has 48 divisors (see below), whose sum is σ = 812448. Its totient is φ = 95040.

The previous prime is 328291. The next prime is 328303. The reversal of 328302 is 203823.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328303) by changing a digit.

328302 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 23 ways as a sum of consecutive naturals, for example, 5352 + ... + 5412.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2328302 is an apocalyptic number.

328302 is the 468-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

328302 is an abundant number, since it is smaller than the sum of its proper divisors (484146).

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

328302 is a wasteful number, since it uses less digits than its factorization.

328302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 328302 is about 572.9764393062. The cubic root of 328302 is about 68.9855042013.

It can be divided in two parts, 328 and 302, that added together give a triangular number (630 = T35).

The spelling of 328302 in words is "three hundred twenty-eight thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 61 69 78 117 122 138 183 207 234 299 366 414 549 598 793 897 1098 1403 1586 1794 2379 2691 2806 4209 4758 5382 7137 8418 12627 14274 18239 25254 36478 54717 109434 164151 328302