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328338496 = 2641157797
BaseRepresentation
bin10011100100100…
…000110001000000
3211212211022202001
4103210200301000
51133023312441
652325233344
711064555043
oct2344406100
9755738661
10328338496
1115937a632
1291b62854
1353040745
143186cc5a
151dc5a731
hex13920c40

328338496 has 56 divisors (see below), whose sum is σ = 672532056. Its totient is φ = 158945280.

The previous prime is 328338473. The next prime is 328338499. The reversal of 328338496 is 694833823.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 328334400 = 64^2 + 18120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328338499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411570 + ... + 412366.

It is an arithmetic number, because the mean of its divisors is an integer number (12009501).

Almost surely, 2328338496 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 328338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336266028).

328338496 is an abundant number, since it is smaller than the sum of its proper divisors (344193560).

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

328338496 is a wasteful number, since it uses less digits than its factorization.

328338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The square root of 328338496 is about 18120.1130239301. The cubic root of 328338496 is about 689.8806038598.

The spelling of 328338496 in words is "three hundred twenty-eight million, three hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 157 164 314 328 628 656 797 1256 1312 1594 2512 2624 3188 5024 6376 6437 10048 12752 12874 25504 25748 32677 51008 51496 65354 102992 125129 130708 205984 250258 261416 411968 500516 522832 1001032 1045664 2002064 2091328 4004128 5130289 8008256 10260578 20521156 41042312 82084624 164169248 328338496