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304668 = 223371331
BaseRepresentation
bin1001010011000011100
3120110221000
41022120130
534222133
610310300
72406150
oct1123034
9513830
10304668
111989a1
12128390
13a88a0
147d060
1560413
hex4a61c

304668 has 96 divisors (see below), whose sum is σ = 1003520. Its totient is φ = 77760.

The previous prime is 304663. The next prime is 304687. The reversal of 304668 is 866403.

304668 = T32 + T33 + ... + T122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304663) by changing a digit.

304668 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 31 ways as a sum of consecutive naturals, for example, 9813 + ... + 9843.

2304668 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 304668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501760).

304668 is an abundant number, since it is smaller than the sum of its proper divisors (698852).

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

304668 is a wasteful number, since it uses less digits than its factorization.

304668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 304668 is about 551.9673903411. The cubic root of 304668 is about 67.2887220971.

The spelling of 304668 in words is "three hundred four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 31 36 39 42 52 54 62 63 78 84 91 93 108 117 124 126 156 182 186 189 217 234 252 273 279 351 364 372 378 403 434 468 546 558 651 702 756 806 819 837 868 1092 1116 1209 1302 1404 1612 1638 1674 1953 2418 2457 2604 2821 3276 3348 3627 3906 4836 4914 5642 5859 7254 7812 8463 9828 10881 11284 11718 14508 16926 21762 23436 25389 33852 43524 50778 76167 101556 152334 304668