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3311144320 = 27511470333
BaseRepresentation
bin1100010101011100…
…0000110110000000
322112202111120002211
43011113000312000
523240123104240
61304321151504
7145024155661
oct30527006600
98482446084
103311144320
11144a066810
12784a8b594
13409cb49c3
14235a7b368
15145a54bea
hexc55c0d80

3311144320 has 64 divisors (see below), whose sum is σ = 8635332240. Its totient is φ = 1204049920.

The previous prime is 3311144303. The next prime is 3311144321. The reversal of 3311144320 is 234411133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3311144291 and 3311144300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311144321) 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, 228127 + ... + 242206.

Almost surely, 23311144320 is an apocalyptic number.

It is an amenable number.

3311144320 is an abundant number, since it is smaller than the sum of its proper divisors (5324187920).

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

3311144320 is a wasteful number, since it uses less digits than its factorization.

3311144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470363 (or 470351 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3311144320 is about 57542.5435656089. The cubic root of 3311144320 is about 1490.4796017762.

Adding to 3311144320 its reverse (234411133), we get a palindrome (3545555453).

The spelling of 3311144320 in words is "three billion, three hundred eleven million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 470333 940666 1881332 2351665 3762664 4703330 5173663 7525328 9406660 10347326 15050656 18813320 20694652 25868315 30101312 37626640 41389304 51736630 60202624 75253280 82778608 103473260 150506560 165557216 206946520 301013120 331114432 413893040 662228864 827786080 1655572160 3311144320