Search a number
-
+
328183434 = 23341227653
BaseRepresentation
bin10011100011111…
…010111010001010
3211212112110001000
4103203322322022
51133003332214
652322035430
711063341005
oct2343727212
9755473030
10328183434
11159284087
1291aa8b76
1352cb7ca7
143182c53c
151dc29809
hex138fae8a

328183434 has 64 divisors (see below), whose sum is σ = 751524480. Its totient is φ = 106093440.

The previous prime is 328183423. The next prime is 328183463. The reversal of 328183434 is 434381823.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502252 + ... + 502904.

It is an arithmetic number, because the mean of its divisors is an integer number (11742570).

Almost surely, 2328183434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328183434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375762240).

328183434 is an abundant number, since it is smaller than the sum of its proper divisors (423341046).

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

328183434 is a wasteful number, since it uses less digits than its factorization.

328183434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 328183434 is about 18115.8337925694. The cubic root of 328183434 is about 689.7719851508.

The spelling of 328183434 in words is "three hundred twenty-eight million, one hundred eighty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 227 246 369 454 653 681 738 1107 1306 1362 1959 2043 2214 3918 4086 5877 6129 9307 11754 12258 17631 18614 26773 27921 35262 53546 55842 80319 83763 148231 160638 167526 240957 251289 296462 444693 481914 502578 722871 889386 1334079 1445742 2668158 4002237 6077471 8004474 12154942 18232413 36464826 54697239 109394478 164091717 328183434