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452304 = 2434349
BaseRepresentation
bin1101110011011010000
3211222110000
41232123100
5103433204
613410000
73562446
oct1563320
9758400
10452304
11289906
12199900
1312ab48
14bab96
158e039
hex6e6d0

452304 has 50 divisors (see below), whose sum is σ = 1312850. Its totient is φ = 150336.

The previous prime is 452297. The next prime is 452329. The reversal of 452304 is 403254.

It is a happy number.

452304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 32400 = 648^2 + 180^2 .

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

It is a congruent number.

It is an unprimeable number.

452304 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 9 ways as a sum of consecutive naturals, for example, 1122 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (26257).

2452304 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 452304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656425).

452304 is an abundant number, since it is smaller than the sum of its proper divisors (860546).

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

452304 is a wasteful number, since it uses less digits than its factorization.

452304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 452304 is about 672.5355009217. The cubic root of 452304 is about 76.7615041447.

Adding to 452304 its reverse (403254), we get a palindrome (855558).

The spelling of 452304 in words is "four hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 349 432 648 698 1047 1296 1396 2094 2792 3141 4188 5584 6282 8376 9423 12564 16752 18846 25128 28269 37692 50256 56538 75384 113076 150768 226152 452304