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3324803328 = 28337116247
BaseRepresentation
bin1100011000101100…
…0111100100000000
322120201012111202000
43012023013210000
523302122201303
61305530024000
7145251235110
oct30613074400
98521174660
103324803328
111456845a50
12789578000
1340ca87b62
142377d5040
15146d51da3
hexc62c7900

3324803328 has 288 divisors, whose sum is σ = 12260075520. Its totient is φ = 863447040.

The previous prime is 3324803327. The next prime is 3324803333. The reversal of 3324803328 is 8233084233.

It is a happy number.

3324803328 is a `hidden beast` number, since 3 + 324 + 8 + 0 + 3 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×33248033282 = 22108634339759751168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3324803292 and 3324803301.

It is not an unprimeable number, because it can be changed into a prime (3324803327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529101 + ... + 535347.

Almost surely, 23324803328 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 3324803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130037760).

3324803328 is an abundant number, since it is smaller than the sum of its proper divisors (8935272192).

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

3324803328 is a wasteful number, since it uses less digits than its factorization.

3324803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3324803328 is about 57661.1075856161. The cubic root of 3324803328 is about 1492.5262801867.

The spelling of 3324803328 in words is "three billion, three hundred twenty-four million, eight hundred three thousand, three hundred twenty-eight".