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3340213420 = 22531411011301
BaseRepresentation
bin1100011100010111…
…1001110010101100
322121210012102102011
43013011321302230
523320043312140
61311240211004
7145526226355
oct30705716254
98553172364
103340213420
111464510865
12792769a64
1341302205b
14239886d2c
15148397cea
hexc7179cac

3340213420 has 96 divisors (see below), whose sum is σ = 7496520192. Its totient is φ = 1248000000.

The previous prime is 3340213403. The next prime is 3340213421. The reversal of 3340213420 is 243120433.

It is a happy number.

It is a super-2 number, since 2×33402134202 = 22314051382296192800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3340213391 and 3340213400.

It is not an unprimeable number, because it can be changed into a prime (3340213421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566770 + ... + 2568070.

It is an arithmetic number, because the mean of its divisors is an integer number (78088752).

Almost surely, 23340213420 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 3340213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748260096).

3340213420 is an abundant number, since it is smaller than the sum of its proper divisors (4156306772).

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

3340213420 is a wasteful number, since it uses less digits than its factorization.

3340213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1481 counting only the distinct ones).

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

The square root of 3340213420 is about 57794.5795036178. The cubic root of 3340213420 is about 1494.8286243304.

Adding to 3340213420 its reverse (243120433), we get a palindrome (3583333853).

The spelling of 3340213420 in words is "three billion, three hundred forty million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 101 124 155 164 202 205 310 404 410 505 620 820 1010 1271 1301 2020 2542 2602 3131 4141 5084 5204 6262 6355 6505 8282 12524 12710 13010 15655 16564 20705 25420 26020 31310 40331 41410 53341 62620 80662 82820 106682 128371 131401 161324 201655 213364 256742 262802 266705 403310 513484 525604 533410 641855 657005 806620 1066820 1283710 1314010 1653571 2567420 2628020 3307142 4073431 5387441 6614284 8146862 8267855 10774882 16293724 16535710 20367155 21549764 26937205 33071420 40734310 53874410 81468620 107748820 167010671 334021342 668042684 835053355 1670106710 3340213420