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3388384992 = 25335295677
BaseRepresentation
bin1100100111110110…
…1010011011100000
322202010211210101110
43021331222123200
523414411304432
61320120503320
7146652540306
oct31175523340
98663753343
103388384992
111489722883
127a691ab40
1341ccba145
14242026276
1514c710dcc
hexc9f6a6e0

3388384992 has 24 divisors (see below), whose sum is σ = 8894510856. Its totient is φ = 1129461632.

The previous prime is 3388384991. The next prime is 3388384997. The reversal of 3388384992 is 2994838833.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33883849922 = 22962305708021680128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388384991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17647743 + ... + 17647934.

It is an arithmetic number, because the mean of its divisors is an integer number (370604619).

Almost surely, 23388384992 is an apocalyptic number.

3388384992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3388384992 is an abundant number, since it is smaller than the sum of its proper divisors (5506125864).

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

3388384992 is a wasteful number, since it uses less digits than its factorization.

3388384992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35295690 (or 35295682 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The square root of 3388384992 is about 58209.8358698940. The cubic root of 3388384992 is about 1501.9803461134.

The spelling of 3388384992 in words is "three billion, three hundred eighty-eight million, three hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 35295677 70591354 105887031 141182708 211774062 282365416 423548124 564730832 847096248 1129461664 1694192496 3388384992