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3305325540 = 223511341389
BaseRepresentation
bin1100010100000011…
…0100001111100100
322112100112221020110
43011000310033210
523232130404130
61303552333020
7144623542416
oct30500641744
98470487213
103305325540
111446852000
12782b44170
13408a2833a
14234da49b6
151452a5ab0
hexc50343e4

3305325540 has 96 divisors (see below), whose sum is σ = 10179953280. Its totient is φ = 801271680.

The previous prime is 3305325497. The next prime is 3305325559. The reversal of 3305325540 is 455235033.

It is a super-3 number, since 3×33053255403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3305325498 and 3305325507.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59166 + ... + 100554.

It is an arithmetic number, because the mean of its divisors is an integer number (106041180).

Almost surely, 23305325540 is an apocalyptic number.

3305325540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305325540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089976640).

3305325540 is an abundant number, since it is smaller than the sum of its proper divisors (6874627740).

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

3305325540 is a wasteful number, since it uses less digits than its factorization.

3305325540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41434 (or 41410 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 3305325540 is about 57491.9606553821. The cubic root of 3305325540 is about 1489.6060006544.

The spelling of 3305325540 in words is "three billion, three hundred five million, three hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1331 1452 1815 2420 2662 3630 3993 5324 6655 7260 7986 13310 15972 19965 26620 39930 41389 79860 82778 124167 165556 206945 248334 413890 455279 496668 620835 827780 910558 1241670 1365837 1821116 2276395 2483340 2731674 4552790 5008069 5463348 6829185 9105580 10016138 13658370 15024207 20032276 25040345 27316740 30048414 50080690 55088759 60096828 75121035 100161380 110177518 150242070 165266277 220355036 275443795 300484140 330532554 550887590 661065108 826331385 1101775180 1652662770 3305325540