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3342422443300 = 22521719122984199
BaseRepresentation
bin110000101000110111111…
…001110000010100100100
3102211112101011111201011221
4300220313321300110210
5414230240121141200
611035253200510124
7463324226000233
oct60506771602444
912745334451157
103342422443300
111079571372576
1245b94a61b344
131b325c557265
14b7aba228b1a
155be263e591a
hex30a37e70524

3342422443300 has 144 divisors (see below), whose sum is σ = 8090575920000. Its totient is φ = 1191112058880.

The previous prime is 3342422443237. The next prime is 3342422443303. The reversal of 3342422443300 is 33442242433.

It is a super-2 number, since 2×33424224433002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3342422443303) 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 47 ways as a sum of consecutive naturals, for example, 39654601 + ... + 39738799.

It is an arithmetic number, because the mean of its divisors is an integer number (56184555000).

Almost surely, 23342422443300 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 3342422443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045287960000).

3342422443300 is an abundant number, since it is smaller than the sum of its proper divisors (4748153476700).

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

3342422443300 is a wasteful number, since it uses less digits than its factorization.

3342422443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85478 (or 85471 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 3342422443300 its reverse (33442242433), we get a palindrome (3375864685733).

The spelling of 3342422443300 in words is "three trillion, three hundred forty-two billion, four hundred twenty-two million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1229 1292 1615 1700 1900 2458 3230 4916 6145 6460 8075 12290 16150 20893 23351 24580 30725 32300 41786 46702 61450 83572 84199 93404 104465 116755 122900 168398 208930 233510 336796 396967 417860 420995 467020 522325 583775 793934 841990 1044650 1167550 1431383 1587868 1599781 1683980 1984835 2089300 2104975 2335100 2862766 3199562 3969670 4209950 5725532 6399124 7156915 7939340 7998905 8419900 9924175 14313830 15997810 19848350 27196277 28627660 31995620 35784575 39696700 39994525 54392554 71569150 79989050 103480571 108785108 135981385 143138300 159978100 206961142 271962770 413922284 517402855 543925540 679906925 1034805710 1359813850 1759169707 1966130849 2069611420 2587014275 2719627700 3518339414 3932261698 5174028550 7036678828 7864523396 8795848535 9830654245 10348057100 17591697070 19661308490 33424224433 35183394140 39322616980 43979242675 49153271225 66848448866 87958485350 98306542450 133696897732 167121122165 175916970700 196613084900 334242244330 668484488660 835605610825 1671211221650 3342422443300