Search a number
-
+
326738512 = 24314116067
BaseRepresentation
bin10011011110011…
…010001001010000
3211202211000222101
4103132122021100
51132121113022
652231050144
711045142262
oct2336321120
9752730871
10326738512
11158487531
1291510954
13529003c9
1431573b32
151da41627
hex1379a250

326738512 has 40 divisors (see below), whose sum is σ = 669457152. Its totient is φ = 154233600.

The previous prime is 326738507. The next prime is 326738513. The reversal of 326738512 is 215837623.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326738513) 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 7 ways as a sum of consecutive naturals, for example, 12303 + ... + 28369.

Almost surely, 2326738512 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 326738512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334728576).

326738512 is an abundant number, since it is smaller than the sum of its proper divisors (342718640).

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

326738512 is a wasteful number, since it uses less digits than its factorization.

326738512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16147 (or 16141 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 326738512 is about 18075.9097143131. The cubic root of 326738512 is about 688.7581893025.

The spelling of 326738512 in words is "three hundred twenty-six million, seven hundred thirty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1271 2542 5084 10168 16067 20336 32134 64268 128536 257072 498077 658747 996154 1317494 1992308 2634988 3984616 5269976 7969232 10539952 20421157 40842314 81684628 163369256 326738512