Search a number
-
+
328632084 = 2232114717657
BaseRepresentation
bin10011100101101…
…000011100010100
3211220101020110200
4103211220130110
51133112211314
652335420500
711100220014
oct2345503424
9756336420
10328632084
11159560170
1292084730
1353114271
1431907c44
151dcb7709
hex13968714

328632084 has 72 divisors (see below), whose sum is σ = 925561728. Its totient is φ = 97461120.

The previous prime is 328632047. The next prime is 328632127. The reversal of 328632084 is 480236823.

328632084 is a `hidden beast` number, since 328 + 6 + 320 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 9784 + ... + 27440.

It is an arithmetic number, because the mean of its divisors is an integer number (12855024).

Almost surely, 2328632084 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 328632084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462780864).

328632084 is an abundant number, since it is smaller than the sum of its proper divisors (596929644).

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

328632084 is a wasteful number, since it uses less digits than its factorization.

328632084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17725 (or 17720 counting only the distinct ones).

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

The square root of 328632084 is about 18128.2123773967. The cubic root of 328632084 is about 690.0861644130.

The spelling of 328632084 in words is "three hundred twenty-eight million, six hundred thirty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 9306 17657 18612 35314 52971 70628 105942 158913 194227 211884 317826 388454 582681 635652 776908 829879 1165362 1659758 1748043 2330724 2489637 3319516 3496086 4979274 6992172 7468911 9128669 9958548 14937822 18257338 27386007 29875644 36514676 54772014 82158021 109544028 164316042 328632084