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328813056 = 29321113499
BaseRepresentation
bin10011100110010…
…100101000000000
3211220201102201100
4103212110220000
51133134004211
652343334400
711101602435
oct2346245000
9756642640
10328813056
11159674130
1292151400
1353178750
1431953b8c
151dd01156
hex13994a00

328813056 has 240 divisors, whose sum is σ = 1117116000. Its totient is φ = 91791360.

The previous prime is 328813039. The next prime is 328813061. The reversal of 328813056 is 650318823.

328813056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 328813056.

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, 658695 + ... + 659193.

It is an arithmetic number, because the mean of its divisors is an integer number (4654650).

Almost surely, 2328813056 is an apocalyptic number.

328813056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558558000).

328813056 is an abundant number, since it is smaller than the sum of its proper divisors (788302944).

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

328813056 is a wasteful number, since it uses less digits than its factorization.

328813056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 328813056 is about 18133.2031367875. The cubic root of 328813056 is about 690.2128140030.

It can be divided in two parts, 32881 and 3056, that added together give a cube (35937 = 333).

The spelling of 328813056 in words is "three hundred twenty-eight million, eight hundred thirteen thousand, fifty-six".