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344032302214040 = 235114347386883521
BaseRepresentation
bin100111000111001010100001…
…1001010100010101110011000
31200010010011111122212210102112
41032032111003022202232120
5330043111123331322130
63215410131403051452
7132315341110041116
oct11616250312425630
91603104448783375
10344032302214040
119a68a309772720
1232703921b10b88
13119c7150acbc0b
1460d5376342ab6
1529b910a31c495
hex138e5432a2b98

344032302214040 has 128 divisors (see below), whose sum is σ = 882465838341120. Its totient is φ = 119593433702400.

The previous prime is 344032302214031. The next prime is 344032302214049. The reversal of 344032302214040 is 40412203230443.

It is an interprime number because it is at equal distance from previous prime (344032302214031) and next prime (344032302214049).

It is a junction number, because it is equal to n+sod(n) for n = 344032302213988 and 344032302214006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344032302214049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192552521 + ... + 194331000.

It is an arithmetic number, because the mean of its divisors is an integer number (6894264362040).

Almost surely, 2344032302214040 is an apocalyptic number.

It is an amenable number.

344032302214040 is an abundant number, since it is smaller than the sum of its proper divisors (538433536127080).

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

344032302214040 is a wasteful number, since it uses less digits than its factorization.

344032302214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386883633 (or 386883629 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 344032302214040 its reverse (40412203230443), we get a palindrome (384444505444483).

The spelling of 344032302214040 in words is "three hundred forty-four trillion, thirty-two billion, three hundred two million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 47 55 86 88 94 110 172 188 215 220 235 344 376 430 440 470 473 517 860 940 946 1034 1720 1880 1892 2021 2068 2365 2585 3784 4042 4136 4730 5170 8084 9460 10105 10340 16168 18920 20210 20680 22231 40420 44462 80840 88924 111155 177848 222310 444620 889240 386883521 773767042 1547534084 1934417605 3095068168 3868835210 4255718731 7737670420 8511437462 15475340840 16635991403 17022874924 18183525487 21278593655 33271982806 34045749848 36367050974 42557187310 66543965612 72734101948 83179957015 85114374620 90917627435 133087931224 145468203896 166359914030 170228749240 181835254870 182995905433 200018780357 332719828060 363670509740 365991810866 400037560714 665439656120 727341019480 731983621732 781891595941 800075121428 914979527165 1000093901785 1463967243464 1563783191882 1600150242856 1829959054330 2000187803570 3127566383764 3659918108660 3909457979705 4000375607140 6255132767528 7319836217320 7818915959410 8000751214280 8600807555351 15637831918820 17201615110702 31275663837640 34403230221404 43004037776755 68806460442808 86008075553510 172016151107020 344032302214040