Search a number
-
+
323507772 = 223278315467
BaseRepresentation
bin10011010010000…
…101011000111100
3211112201220020100
4103102011120330
51130304222042
652033521100
711005525230
oct2322053074
9745656210
10323507772
111566801a5
1290413190
135203ba23
1430d725c0
151d60424c
hex1348563c

323507772 has 72 divisors (see below), whose sum is σ = 945899136. Its totient is φ = 91311264.

The previous prime is 323507729. The next prime is 323507777. The reversal of 323507772 is 277705323.

323507772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323507777) 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, 13183 + ... + 28649.

It is an arithmetic number, because the mean of its divisors is an integer number (13137488).

Almost surely, 2323507772 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 323507772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472949568).

323507772 is an abundant number, since it is smaller than the sum of its proper divisors (622391364).

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

323507772 is a wasteful number, since it uses less digits than its factorization.

323507772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15567 (or 15562 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 323507772 is about 17986.3218029702. The cubic root of 323507772 is about 686.4805541840.

The spelling of 323507772 in words is "three hundred twenty-three million, five hundred seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 5229 6972 10458 15467 20916 30934 46401 61868 92802 108269 139203 185604 216538 278406 324807 433076 556812 649614 974421 1283761 1299228 1948842 2567522 3851283 3897684 5135044 7702566 8986327 11553849 15405132 17972654 23107698 26958981 35945308 46215396 53917962 80876943 107835924 161753886 323507772