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3320065540 = 2251137340459
BaseRepresentation
bin1100010111100100…
…0010111000000100
322120101021210201101
43011321002320010
523244414044130
61305240305444
7145163043241
oct30571027004
98511253641
103320065540
1114540aa420
12787a72284
1340bab952c
14236d205c8
151467181ca
hexc5e42e04

3320065540 has 48 divisors (see below), whose sum is σ = 7626548160. Its totient is φ = 1204030080.

The previous prime is 3320065517. The next prime is 3320065589. The reversal of 3320065540 is 455600233.

It is a super-2 number, since 2×33200655402 = 22045670379790983200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3320065499 and 3320065508.

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 15 ways as a sum of consecutive naturals, for example, 61831 + ... + 102289.

It is an arithmetic number, because the mean of its divisors is an integer number (158886420).

Almost surely, 23320065540 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 3320065540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813274080).

3320065540 is an abundant number, since it is smaller than the sum of its proper divisors (4306482620).

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

3320065540 is a wasteful number, since it uses less digits than its factorization.

3320065540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40852 (or 40850 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 3320065540 is about 57620.0098923976. The cubic root of 3320065540 is about 1491.8170016843.

Adding to 3320065540 its reverse (455600233), we get a palindrome (3775665773).

The spelling of 3320065540 in words is "three billion, three hundred twenty million, sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 373 746 1492 1865 3730 4103 7460 8206 16412 20515 40459 41030 80918 82060 161836 202295 404590 445049 809180 890098 1780196 2225245 4450490 8900980 15091207 30182414 60364828 75456035 150912070 166003277 301824140 332006554 664013108 830016385 1660032770 3320065540