Search a number
-
+
454440324 = 223132297727
BaseRepresentation
bin11011000101100…
…011010110000100
31011200002221221010
4123011203112010
51412314042244
6113032122220
714155451622
oct3305432604
91150087833
10454440324
11213579818
12108236370
13731c2b00
14444d6512
1529d68eb9
hex1b163584

454440324 has 72 divisors (see below), whose sum is σ = 1187948160. Its totient is φ = 134988672.

The previous prime is 454440323. The next prime is 454440341. The reversal of 454440324 is 423044454.

It is a junction number, because it is equal to n+sod(n) for n = 454440291 and 454440300.

It is not an unprimeable number, because it can be changed into a prime (454440323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 54949 + ... + 62675.

It is an arithmetic number, because the mean of its divisors is an integer number (16499280).

Almost surely, 2454440324 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 454440324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593974080).

454440324 is an abundant number, since it is smaller than the sum of its proper divisors (733507836).

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

454440324 is a wasteful number, since it uses less digits than its factorization.

454440324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7789 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 454440324 is about 21317.6059631470. The cubic root of 454440324 is about 768.8216778166.

Adding to 454440324 its reverse (423044454), we get a palindrome (877484778).

The spelling of 454440324 in words is "four hundred fifty-four million, four hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 169 174 338 348 377 507 676 754 1014 1131 1508 2028 2262 4524 4901 7727 9802 14703 15454 19604 23181 29406 30908 46362 58812 92724 100451 200902 224083 301353 401804 448166 602706 672249 896332 1205412 1305863 1344498 2611726 2688996 2913079 3917589 5223452 5826158 7835178 8739237 11652316 15670356 17478474 34956948 37870027 75740054 113610081 151480108 227220162 454440324