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3322120740 = 2235194762003
BaseRepresentation
bin1100011000000011…
…1000101000100100
322120112011012220220
43012000320220210
523300430330430
61305352324340
7145216363131
oct30600705044
98515135826
103322120740
111455283534
127886a36b0
1340c358b23
142372d7588
151469c2110
hexc6038a24

3322120740 has 96 divisors (see below), whose sum is σ = 10000005120. Its totient is φ = 821402496.

The previous prime is 3322120709. The next prime is 3322120741. The reversal of 3322120740 is 470212233.

It is a super-2 number, since 2×33221207402 = 22072972422276295200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3322120740.

It is not an unprimeable number, because it can be changed into a prime (3322120741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22579 + ... + 84581.

It is an arithmetic number, because the mean of its divisors is an integer number (104166720).

Almost surely, 23322120740 is an apocalyptic number.

3322120740 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 3322120740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000002560).

3322120740 is an abundant number, since it is smaller than the sum of its proper divisors (6677884380).

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

3322120740 is a wasteful number, since it uses less digits than its factorization.

3322120740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62081 (or 62079 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3322120740 is about 57637.8412156458. The cubic root of 3322120740 is about 1492.1247616611.

Adding to 3322120740 its reverse (470212233), we get a palindrome (3792332973).

The spelling of 3322120740 in words is "three billion, three hundred twenty-two million, one hundred twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 76 94 95 114 141 188 190 228 235 282 285 380 470 564 570 705 893 940 1140 1410 1786 2679 2820 3572 4465 5358 8930 10716 13395 17860 26790 53580 62003 124006 186009 248012 310015 372018 620030 744036 930045 1178057 1240060 1860090 2356114 2914141 3534171 3720180 4712228 5828282 5890285 7068342 8742423 11656564 11780570 14136684 14570705 17484846 17670855 23561140 29141410 34969692 35341710 43712115 55368679 58282820 70683420 87424230 110737358 166106037 174848460 221474716 276843395 332212074 553686790 664424148 830530185 1107373580 1661060370 3322120740