Search a number
-
+
504324324 = 2232713115277
BaseRepresentation
bin11110000011110…
…110000011100100
31022010222022220200
4132003312003210
52013101334244
6122013230500
715332454210
oct3603660344
91263868820
10504324324
11239750369
12120a92430
138063a47a
144ad9d940
152e41e669
hex1e0f60e4

504324324 has 72 divisors (see below), whose sum is σ = 1468154688. Its totient is φ = 142983360.

The previous prime is 504324281. The next prime is 504324341. The reversal of 504324324 is 423423405.

504324324 is a modest number, since divided by 324324 gives 504 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25374 + ... + 40650.

Almost surely, 2504324324 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 504324324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734077344).

504324324 is an abundant number, since it is smaller than the sum of its proper divisors (963830364).

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

504324324 is a wasteful number, since it uses less digits than its factorization.

504324324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15425 (or 15420 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 504324324 is about 22457.1664285591. The cubic root of 504324324 is about 795.9821065311.

Adding to 504324324 its reverse (423423405), we get a palindrome (927747729).

It can be divided in two parts, 50432 and 4324, that added together give a square (54756 = 2342).

The spelling of 504324324 in words is "five hundred four million, three hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2751 3668 4716 5502 8253 11004 15277 16506 30554 33012 45831 61108 91662 106939 137493 183324 213878 274986 320817 427756 549972 641634 962451 1283268 1924902 2001287 3849804 4002574 6003861 8005148 12007722 14009009 18011583 24015444 28018018 36023166 42027027 56036036 72046332 84054054 126081081 168108108 252162162 504324324