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3342422302340 = 22511292633198971
BaseRepresentation
bin110000101000110111111…
…001001101111010000100
3102211112101011020112211012
4300220313321031322010
5414230240102133330
611035253153501352
7463324224542252
oct60506771157204
912745334215735
103342422302340
111079571286680
1245b94a571858
131b325c508054
14b7aba1cd5d2
155be263b8c95
hex30a37e4de84

3342422302340 has 96 divisors (see below), whose sum is σ = 7924274789760. Its totient is φ = 1173063449600.

The previous prime is 3342422302309. The next prime is 3342422302391. The reversal of 3342422302340 is 432032242433.

It is a happy number.

3342422302340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33424223023402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3342422302297 and 3342422302306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16699055 + ... + 16898025.

It is an arithmetic number, because the mean of its divisors is an integer number (82544529060).

Almost surely, 23342422302340 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 3342422302340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962137394880).

3342422302340 is an abundant number, since it is smaller than the sum of its proper divisors (4581852487420).

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

3342422302340 is a wasteful number, since it uses less digits than its factorization.

3342422302340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201653 (or 201651 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 3342422302340 its reverse (432032242433), we get a palindrome (3774454544773).

The spelling of 3342422302340 in words is "three trillion, three hundred forty-two billion, four hundred twenty-two million, three hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 2633 3190 5266 6380 10532 13165 26330 28963 52660 57926 76357 115852 144815 152714 198971 289630 305428 381785 397942 579260 763570 795884 839927 994855 1527140 1679854 1989710 2188681 3359708 3979420 4199635 4377362 5770159 8399270 8754724 10943405 11540318 16798540 21886810 23080636 28850795 43773620 57701590 63471749 115403180 126943498 253886996 317358745 523890643 634717490 1047781286 1269434980 2095562572 2619453215 5238906430 5762797073 10477812860 11525594146 15192828647 23051188292 28813985365 30385657294 57627970730 60771314588 75964143235 115255941460 151928286470 167121115117 303856572940 334242230234 668484460468 835605575585 1671211151170 3342422302340