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3311012320 = 255721138393
BaseRepresentation
bin1100010101011010…
…0000100111100000
322112202020212000221
43011112200213200
523240104343240
61304314252424
7145023066100
oct30526404740
98482225027
103311012320
111449a86620
12784a27114
13409c698b5
14235a45200
15145a2aa4a
hexc55a09e0

3311012320 has 144 divisors (see below), whose sum is σ = 9926845488. Its totient is φ = 1031976960.

The previous prime is 3311012269. The next prime is 3311012329. The reversal of 3311012320 is 232101133.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3311012294 and 3311012303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311012329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67044 + ... + 105436.

It is an arithmetic number, because the mean of its divisors is an integer number (68936427).

Almost surely, 23311012320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963422744).

3311012320 is an abundant number, since it is smaller than the sum of its proper divisors (6615833168).

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

3311012320 is a wasteful number, since it uses less digits than its factorization.

3311012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38433 (or 38418 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3311012320 is about 57541.3965767255. The cubic root of 3311012320 is about 1490.4597953384.

Adding to 3311012320 its reverse (232101133), we get a palindrome (3543113453).

The spelling of 3311012320 in words is "three billion, three hundred eleven million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 352 385 392 440 490 539 560 616 770 784 880 980 1078 1120 1232 1540 1568 1760 1960 2156 2464 2695 3080 3920 4312 5390 6160 7840 8624 10780 12320 17248 21560 38393 43120 76786 86240 153572 191965 268751 307144 383930 422323 537502 614288 767860 844646 1075004 1228576 1343755 1535720 1689292 1881257 2111615 2150008 2687510 2956261 3071440 3378584 3762514 4223230 4300016 5375020 5912522 6142880 6757168 7525028 8446460 8600032 9406285 10750040 11825044 13514336 14781305 15050056 16892920 18812570 20693827 21500080 23650088 29562610 30100112 33785840 37625140 41387654 43000160 47300176 59125220 60200224 67571680 75250280 82775308 94600352 103469135 118250440 150500560 165550616 206938270 236500880 301001120 331101232 413876540 473001760 662202464 827753080 1655506160 3311012320