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344111210422430 = 251129313794046951
BaseRepresentation
bin100111000111101111010001…
…0011101011110000010011110
31200010101201011220121002220012
41032033132202131132002132
5330100404224332004210
63215510301355523222
7132324133403534603
oct11617364235360236
91603351156532805
10344111210422430
119a70a821360590
1232717084159512
1311a01717998299
1460d91000b86aa
1529bb1c7a27305
hex138f7a275e09e

344111210422430 has 128 divisors (see below), whose sum is σ = 741059886735360. Its totient is φ = 113759190720000.

The previous prime is 344111210422411. The next prime is 344111210422439. The reversal of 344111210422430 is 34224012111443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344111210422439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43364546 + ... + 50682405.

It is an arithmetic number, because the mean of its divisors is an integer number (5789530365120).

Almost surely, 2344111210422430 is an apocalyptic number.

344111210422430 is an abundant number, since it is smaller than the sum of its proper divisors (396948676312930).

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

344111210422430 is a wasteful number, since it uses less digits than its factorization.

344111210422430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94047066.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 344111210422430 its reverse (34224012111443), we get a palindrome (378335222533873).

The spelling of 344111210422430 in words is "three hundred forty-four trillion, one hundred eleven billion, two hundred ten million, four hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 29 31 37 55 58 62 74 110 145 155 185 290 310 319 341 370 407 638 682 814 899 1073 1147 1595 1705 1798 2035 2146 2294 3190 3410 4070 4495 5365 5735 8990 9889 10730 11470 11803 12617 19778 23606 25234 33263 49445 59015 63085 66526 98890 118030 126170 166315 332630 365893 731786 1829465 3658930 94046951 188093902 470234755 940469510 1034516461 2069032922 2727361579 2915455481 3479737187 5172582305 5454723158 5830910962 6959474374 10345164610 13636807895 14577277405 17398685935 27273615790 29154554810 30000977369 32070010291 34797371870 38277109057 60001954738 64140020582 76554218114 84548208949 100912378423 107871852797 150004886845 160350051455 169096417898 191385545285 201824756846 215743705594 300009773690 320700102910 382771090570 422741044745 504561892115 539359263985 845482089490 930030298439 1009123784230 1078718527970 1110036162653 1186590380767 1860060596878 2220072325306 2373180761534 3128283731113 4650151492195 5550180813265 5932951903835 6256567462226 9300302984390 11100361626530 11865903807670 15641418655565 31282837311130 34411121042243 68822242084486 172055605211215 344111210422430