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328353828 = 2231121012239
BaseRepresentation
bin10011100100100…
…100100000100100
3211212212002202220
4103210210200210
51133024310303
652325432340
711064650535
oct2344444044
9755762686
10328353828
11159390100
1291b6b6b0
135304770a
143187468c
151dc60053
hex13924824

328353828 has 72 divisors (see below), whose sum is σ = 850859520. Its totient is φ = 98472000.

The previous prime is 328353761. The next prime is 328353869. The reversal of 328353828 is 828353823.

It is a self number, because there is not a number n which added to its sum of digits gives 328353828.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145533 + ... + 147771.

Almost surely, 2328353828 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 328353828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425429760).

328353828 is an abundant number, since it is smaller than the sum of its proper divisors (522505692).

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

328353828 is a wasteful number, since it uses less digits than its factorization.

328353828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2356 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 328353828 is about 18120.5360847851. The cubic root of 328353828 is about 689.8913418481.

It can be divided in two parts, 32835 and 3828, that added together give a palindrome (36663).

The spelling of 328353828 in words is "three hundred twenty-eight million, three hundred fifty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 1111 1212 1452 2222 2239 3333 4444 4478 6666 6717 8956 12221 13332 13434 24442 24629 26868 36663 48884 49258 73326 73887 98516 146652 147774 226139 270919 295548 452278 541838 678417 812757 904556 1083676 1356834 1625514 2487529 2713668 3251028 4975058 7462587 9950116 14925174 27362819 29850348 54725638 82088457 109451276 164176914 328353828