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328624384 = 281121032
BaseRepresentation
bin10011100101100…
…110100100000000
3211220100211220111
4103211212210000
51133111440014
652335321104
711100155404
oct2345464400
9756324814
10328624384
11159555400
1292080194
13531108ca
1431905104
151dcb52c4
hex13966900

328624384 has 81 divisors (see below), whose sum is σ = 728087619. Its totient is φ = 147924480.

The previous prime is 328624367. The next prime is 328624441. The reversal of 328624384 is 483426823.

The square root of 328624384 is 18128.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3190477 + ... + 3190579.

Almost surely, 2328624384 is an apocalyptic number.

328624384 is the 18128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328624384

328624384 is an abundant number, since it is smaller than the sum of its proper divisors (399463235).

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

328624384 is an equidigital number, since it uses as much as digits as its factorization.

328624384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 116 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The cubic root of 328624384 is about 690.0807746927.

The spelling of 328624384 in words is "three hundred twenty-eight million, six hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 121 128 176 206 242 256 352 412 484 704 824 968 1133 1408 1648 1936 2266 2816 3296 3872 4532 6592 7744 9064 10609 12463 13184 15488 18128 21218 24926 26368 30976 36256 42436 49852 72512 84872 99704 116699 145024 169744 199408 233398 290048 339488 398816 466796 678976 797632 933592 1283689 1357952 1595264 1867184 2567378 2715904 3190528 3734368 5134756 7468736 10269512 14937472 20539024 29874944 41078048 82156096 164312192 328624384