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344214323314020 = 223351738336669961
BaseRepresentation
bin100111001000011111010010…
…0011101111011110101100100
31200010202120100000200201122000
41032100332210131323311210
5330104101413232022040
63220025513243005300
7132334443546623025
oct11620764435736544
91603676300621560
10344214323314020
119a74a524953165
1232733060509830
1311a0b36b3977c3
1461000c272ac4c
1529bdc101a5130
hex1390fa477bd64

344214323314020 has 96 divisors (see below), whose sum is σ = 1070950640605440. Its totient is φ = 91785203239680.

The previous prime is 344214323313977. The next prime is 344214323314049. The reversal of 344214323314020 is 20413323412443.

344214323314020 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 14 + 3 + 233 + 1 + 402 + 0 = 666.

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

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, 8948161 + ... + 27721800.

It is an arithmetic number, because the mean of its divisors is an integer number (11155735839640).

Almost surely, 2344214323314020 is an apocalyptic number.

344214323314020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344214323314020 is an abundant number, since it is smaller than the sum of its proper divisors (726736317291420).

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

344214323314020 is a wasteful number, since it uses less digits than its factorization.

344214323314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36687362 (or 36687354 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 344214323314020 its reverse (20413323412443), we get a palindrome (364627646726463).

The spelling of 344214323314020 in words is "three hundred forty-four trillion, two hundred fourteen billion, three hundred twenty-three million, three hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 17383 34766 52149 69532 86915 104298 156447 173830 208596 260745 312894 347660 469341 521490 625788 782235 938682 1042980 1564470 1877364 2346705 3128940 4693410 9386820 36669961 73339922 110009883 146679844 183349805 220019766 330029649 366699610 440039532 550049415 660059298 733399220 990088947 1100098830 1320118596 1650148245 1980177894 2200197660 3300296490 3960355788 4950444735 6600592980 9900889470 19801778940 637433932063 1274867864126 1912301796189 2549735728252 3187169660315 3824603592378 5736905388567 6374339320630 7649207184756 9561508980945 11473810777134 12748678641260 17210716165701 19123017961890 22947621554268 28684526942835 34421432331402 38246035923780 57369053885670 68842864662804 86053580828505 114738107771340 172107161657010 344214323314020