Search a number
-
+
323304436 = 227132174019
BaseRepresentation
bin10011010001010…
…011101111110100
3211112100120022101
4103101103233310
51130231220221
652025311444
711004020350
oct2321235764
9745316271
10323304436
11156551454
1290335584
1351c9a300
1430d1c460
151d5b3d91
hex13453bf4

323304436 has 72 divisors (see below), whose sum is σ = 741545280. Its totient is φ = 120347136.

The previous prime is 323304433. The next prime is 323304451. The reversal of 323304436 is 634403323.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323304433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78435 + ... + 82453.

It is an arithmetic number, because the mean of its divisors is an integer number (10299240).

Almost surely, 2323304436 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 323304436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370772640).

323304436 is an abundant number, since it is smaller than the sum of its proper divisors (418240844).

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

323304436 is a wasteful number, since it uses less digits than its factorization.

323304436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

The square root of 323304436 is about 17980.6683969201. The cubic root of 323304436 is about 686.3366983252.

Adding to 323304436 its reverse (634403323), we get a palindrome (957707759).

The spelling of 323304436 in words is "three hundred twenty-three million, three hundred four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 169 182 221 238 338 364 442 476 676 884 1183 1547 2366 2873 3094 4019 4732 5746 6188 8038 11492 16076 20111 28133 40222 52247 56266 68323 80444 104494 112532 136646 208988 273292 365729 478261 679211 731458 888199 956522 1358422 1462916 1776398 1913044 2716844 3552796 4754477 6217393 9508954 11546587 12434786 19017908 23093174 24869572 46186348 80826109 161652218 323304436