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3281112864 = 253247242399
BaseRepresentation
bin1100001110010001…
…1100111100100000
322110122222210200200
43003210130330200
523204431102424
61301325345200
7144210666501
oct30344347440
98418883620
103281112864
111434114727
12776a08200
134039cb603
14231aa0ba8
151430c18c9
hexc391cf20

3281112864 has 72 divisors (see below), whose sum is σ = 9529228800. Its totient is φ = 1070429568.

The previous prime is 3281112839. The next prime is 3281112941. The reversal of 3281112864 is 4682111823.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107664 + ... + 134735.

It is an arithmetic number, because the mean of its divisors is an integer number (132350400).

Almost surely, 23281112864 is an apocalyptic number.

It is an amenable number.

3281112864 is an abundant number, since it is smaller than the sum of its proper divisors (6248115936).

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

3281112864 is a wasteful number, since it uses less digits than its factorization.

3281112864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242462 (or 242451 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3281112864 is about 57280.9991532969. Note that the first 3 decimals coincide. The cubic root of 3281112864 is about 1485.9597862978.

The spelling of 3281112864 in words is "three billion, two hundred eighty-one million, one hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 242399 484798 727197 969596 1454394 1939192 2181591 2908788 3878384 4363182 5817576 7756768 8726364 11392753 11635152 17452728 22785506 23270304 34178259 34905456 45571012 68356518 69810912 91142024 102534777 136713036 182284048 205069554 273426072 364568096 410139108 546852144 820278216 1093704288 1640556432 3281112864