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3013342420 = 2251167892297
BaseRepresentation
bin1011001110011011…
…1111010011010100
321210000010122200211
42303212333103110
522132403424140
61215002215204
7134446662604
oct26346772324
97700118624
103013342420
111306a53840
127011b4504
133903a656a
142082bac04
1512982c2ea
hexb39bf4d4

3013342420 has 96 divisors (see below), whose sum is σ = 7088135040. Its totient is φ = 1066813440.

The previous prime is 3013342417. The next prime is 3013342421. The reversal of 3013342420 is 242433103.

It is a happy number.

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 = 3013342391 and 3013342400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013342421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310712 + ... + 1313008.

It is an arithmetic number, because the mean of its divisors is an integer number (73834740).

Almost surely, 23013342420 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 3013342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544067520).

3013342420 is an abundant number, since it is smaller than the sum of its proper divisors (4074792620).

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

3013342420 is a wasteful number, since it uses less digits than its factorization.

3013342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3013342420 is about 54893.9196997263. The cubic root of 3013342420 is about 1444.3845305370.

Adding to 3013342420 its reverse (242433103), we get a palindrome (3255775523).

The spelling of 3013342420 in words is "three billion, thirteen million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 89 110 134 178 220 268 335 356 445 670 737 890 979 1340 1474 1780 1958 2297 2948 3685 3916 4594 4895 5963 7370 9188 9790 11485 11926 14740 19580 22970 23852 25267 29815 45940 50534 59630 65593 101068 119260 126335 131186 153899 204433 252670 262372 307798 327965 408866 505340 615596 655930 769495 817732 1022165 1311860 1538990 1692889 2044330 2248763 3077980 3385778 4088660 4497526 6771556 8464445 8995052 11243815 13697011 16928890 22487630 27394022 33857780 44975260 54788044 68485055 136970110 150667121 273940220 301334242 602668484 753335605 1506671210 3013342420