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3281111328 = 253113107113
BaseRepresentation
bin1100001110010001…
…1100100100100000
322110122222201120210
43003210130210200
523204431030303
61301325334120
7144210662145
oct30344344440
98418881523
103281111328
111434113560
12776a07340
134039ca9c1
14231aa03cc
151430c1203
hexc391c920

3281111328 has 48 divisors (see below), whose sum is σ = 9395912736. Its totient is φ = 994275840.

The previous prime is 3281111321. The next prime is 3281111377. The reversal of 3281111328 is 8231111823.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 3281111295 and 3281111304.

It is not an unprimeable number, because it can be changed into a prime (3281111321) 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, 1552501 + ... + 1554612.

It is an arithmetic number, because the mean of its divisors is an integer number (195748182).

Almost surely, 23281111328 is an apocalyptic number.

It is an amenable number.

3281111328 is an abundant number, since it is smaller than the sum of its proper divisors (6114801408).

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

3281111328 is a wasteful number, since it uses less digits than its factorization.

3281111328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107137 (or 3107129 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 3281111328 is about 57280.9857457080. The cubic root of 3281111328 is about 1485.9595544217.

The spelling of 3281111328 in words is "three billion, two hundred eighty-one million, one hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3107113 6214226 9321339 12428452 18642678 24856904 34178243 37285356 49713808 68356486 74570712 99427616 102534729 136712972 149141424 205069458 273425944 298282848 410138916 546851888 820277832 1093703776 1640555664 3281111328