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3368225664 = 27322923807
BaseRepresentation
bin1100100011000011…
…0000101110000000
322200201220120222200
43020300300232000
523344231210124
61314120433200
7146316305616
oct31060605600
98621816880
103368225664
111479303881
127a0018800
13418a7c34b
1423d4996b6
1514aa7cbc9
hexc8c30b80

3368225664 has 48 divisors (see below), whose sum is σ = 9692423520. Its totient is φ = 1122741504.

The previous prime is 3368225611. The next prime is 3368225687. The reversal of 3368225664 is 4665228633.

It is a happy number.

3368225664 is a `hidden beast` number, since 3 + 3 + 6 + 82 + 2 + 566 + 4 = 666.

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

It is a super-2 number, since 2×33682256642 = 22689888247256481792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1460752 + ... + 1463055.

It is an arithmetic number, because the mean of its divisors is an integer number (201925490).

Almost surely, 23368225664 is an apocalyptic number.

It is an amenable number.

3368225664 is an abundant number, since it is smaller than the sum of its proper divisors (6324197856).

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

3368225664 is a wasteful number, since it uses less digits than its factorization.

3368225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923827 (or 2923812 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3368225664 is about 58036.4167053756. The cubic root of 3368225664 is about 1498.9957224344.

The spelling of 3368225664 in words is "three billion, three hundred sixty-eight million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2923807 5847614 8771421 11695228 17542842 23390456 26314263 35085684 46780912 52628526 70171368 93561824 105257052 140342736 187123648 210514104 280685472 374247296 421028208 561370944 842056416 1122741888 1684112832 3368225664