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3354224052240 = 243255437856841
BaseRepresentation
bin110000110011110111010…
…101010100100000010000
3102212122211122022120011100
4300303313111110200100
5414423422324132430
611044524222144400
7464222541010335
oct60636725244020
912778748276140
103354224052240
11108357803aa96
124620a2a22100
131b43c0578c09
14b84b976298c
155c3b7528960
hex30cf7554810

3354224052240 has 120 divisors (see below), whose sum is σ = 11266687432728. Its totient is φ = 894294190080.

The previous prime is 3354224052233. The next prime is 3354224052241. The reversal of 3354224052240 is 422504224533.

3354224052240 is a `hidden beast` number, since 3 + 3 + 5 + 4 + 2 + 2 + 405 + 2 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103025592576 + 3251198459664 = 320976^2 + 1803108^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33542240522402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3354224052195 and 3354224052204.

It is not an unprimeable number, because it can be changed into a prime (3354224052241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3486220 + ... + 4343060.

Almost surely, 23354224052240 is an apocalyptic number.

3354224052240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3354224052240 is an abundant number, since it is smaller than the sum of its proper divisors (7912463380488).

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

3354224052240 is a wasteful number, since it uses less digits than its factorization.

3354224052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862297 (or 862288 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 3354224052240 its reverse (422504224533), we get a palindrome (3776728276773).

The spelling of 3354224052240 in words is "three trillion, three hundred fifty-four billion, two hundred twenty-four million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5437 10874 16311 21748 27185 32622 43496 48933 54370 65244 81555 86992 97866 108740 130488 163110 195732 217480 244665 260976 326220 391464 434960 489330 652440 782928 856841 978660 1304880 1713682 1957320 2570523 3427364 3914640 4284205 5141046 6854728 7711569 8568410 10282092 12852615 13709456 15423138 17136820 20564184 25705230 30846276 34273640 38557845 41128368 51410460 61692552 68547280 77115690 102820920 123385104 154231380 205641840 308462760 616925520 4658644517 9317289034 13975933551 18634578068 23293222585 27951867102 37269156136 41927800653 46586445170 55903734204 69879667755 74538312272 83855601306 93172890340 111807468408 139759335510 167711202612 186345780680 209639003265 223614936816 279518671020 335422405224 372691561360 419278006530 559037342040 670844810448 838556013060 1118074684080 1677112026120 3354224052240