Search a number
-
+
328195264 = 2631433847
BaseRepresentation
bin10011100011111…
…101110011000000
3211212120001021011
4103203331303000
51133004222024
652322210304
711063420335
oct2343756300
9755501234
10328195264
11159291a61
1291ab3994
1352cc04a7
143183298c
151dc2d094
hex138fdcc0

328195264 has 56 divisors (see below), whose sum is σ = 688083968. Its totient is φ = 155070720.

The previous prime is 328195253. The next prime is 328195289. The reversal of 328195264 is 462591823.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83389 + ... + 87235.

Almost surely, 2328195264 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 328195264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344041984).

328195264 is an abundant number, since it is smaller than the sum of its proper divisors (359888704).

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

328195264 is a wasteful number, since it uses less digits than its factorization.

328195264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3923 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 328195264 is about 18116.1602995778. The cubic root of 328195264 is about 689.7802731017.

It can be divided in two parts, 32819 and 5264, that added together give a palindrome (38083).

The spelling of 328195264 in words is "three hundred twenty-eight million, one hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 496 688 992 1333 1376 1984 2666 2752 3847 5332 7694 10664 15388 21328 30776 42656 61552 85312 119257 123104 165421 238514 246208 330842 477028 661684 954056 1323368 1908112 2646736 3816224 5128051 5293472 7632448 10256102 10586944 20512204 41024408 82048816 164097632 328195264