Search a number
-
+
328024312 = 237114391213
BaseRepresentation
bin10011100011010…
…100000011111000
3211212020100202121
4103203110003320
51132433234222
652314411024
711062106050
oct2343240370
9755210677
10328024312
11159185580
1291a30a74
1352c60735
14317ca560
151dbe75c7
hex138d40f8

328024312 has 64 divisors (see below), whose sum is σ = 769190400. Its totient is φ = 127405440.

The previous prime is 328024283. The next prime is 328024349. The reversal of 328024312 is 213420823.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 269818 + ... + 271030.

It is an arithmetic number, because the mean of its divisors is an integer number (12018600).

Almost surely, 2328024312 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 328024312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384595200).

328024312 is an abundant number, since it is smaller than the sum of its proper divisors (441166088).

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

328024312 is a wasteful number, since it uses less digits than its factorization.

328024312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 328024312 is about 18111.4414666531. The cubic root of 328024312 is about 689.6604868949.

The spelling of 328024312 in words is "three hundred twenty-eight million, twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 439 616 878 1213 1756 2426 3073 3512 4829 4852 6146 8491 9658 9704 12292 13343 16982 19316 24584 26686 33803 33964 38632 53372 67606 67928 93401 106744 135212 186802 270424 373604 532507 747208 1065014 2130028 3727549 4260056 5857577 7455098 11715154 14910196 23430308 29820392 41003039 46860616 82006078 164012156 328024312