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328189456 = 24726472
BaseRepresentation
bin10011100011111…
…100011000010000
3211212112202022001
4103203330120100
51133004030311
652322123344
711063364400
oct2343743020
9755482261
10328189456
11159288661
1291ab0554
1352cba95a
1431830800
151dc2b4c1
hex138fc610

328189456 has 45 divisors (see below), whose sum is σ = 740827119. Its totient is φ = 140435232.

The previous prime is 328189441. The next prime is 328189481. The reversal of 328189456 is 654981823.

The square root of 328189456 is 18116.

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 (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 506925 + ... + 507571.

Almost surely, 2328189456 is an apocalyptic number.

328189456 is the 18116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328189456

328189456 is an abundant number, since it is smaller than the sum of its proper divisors (412637663).

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

328189456 is an frugal number, since it uses more digits than its factorization.

328189456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 656 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The cubic root of 328189456 is about 689.7762041140.

The spelling of 328189456 in words is "three hundred twenty-eight million, one hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 647 784 1294 2588 4529 5176 9058 10352 18116 31703 36232 63406 72464 126812 253624 418609 507248 837218 1674436 2930263 3348872 5860526 6697744 11721052 20511841 23442104 41023682 46884208 82047364 164094728 328189456