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328893696 = 283517311
BaseRepresentation
bin10011100110101…
…000010100000000
3211220212112100000
4103212220110000
51133144044241
652345200000
711102356515
oct2346502400
9756775300
10328893696
1115971977a
1292190000
13531a6371
143197530c
151dd19eb6
hex139a8500

328893696 has 216 divisors, whose sum is σ = 1044598464. Its totient is φ = 102850560.

The previous prime is 328893647. The next prime is 328893707. The reversal of 328893696 is 696398823.

328893696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1057381 + ... + 1057691.

It is an arithmetic number, because the mean of its divisors is an integer number (4836104).

Almost surely, 2328893696 is an apocalyptic number.

328893696 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 328893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522299232).

328893696 is an abundant number, since it is smaller than the sum of its proper divisors (715704768).

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

328893696 is an equidigital number, since it uses as much as digits as its factorization.

328893696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 333 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 328893696 is about 18135.4265458522. The cubic root of 328893696 is about 690.2692333076.

It can be divided in two parts, 32889 and 3696, that added together give a triangular number (36585 = T270).

The spelling of 328893696 in words is "three hundred twenty-eight million, eight hundred ninety-three thousand, six hundred ninety-six".