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340010224440 = 233559106145263
BaseRepresentation
bin1001111001010100011…
…00000100101100111000
31012111121220020000112120
410330222030010230320
521032320104140230
6420110515041240
733364525136115
oct4745214045470
91174556200476
10340010224440
111212199a9097
1255a908a0220
13260a8050c23
1412656c1190c
158ca0015310
hex4f2a304b38

340010224440 has 128 divisors (see below), whose sum is σ = 1038319948800. Its totient is φ = 89046648320.

The previous prime is 340010224439. The next prime is 340010224441. The reversal of 340010224440 is 44422010043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340010224439) and next prime (340010224441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 340010224440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340010224441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7489249 + ... + 7534511.

It is an arithmetic number, because the mean of its divisors is an integer number (8111874600).

Almost surely, 2340010224440 is an apocalyptic number.

340010224440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340010224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519159974400).

340010224440 is an abundant number, since it is smaller than the sum of its proper divisors (698309724360).

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

340010224440 is a wasteful number, since it uses less digits than its factorization.

340010224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46397 (or 46393 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 340010224440 its reverse (44422010043), we get a palindrome (384432234483).

The spelling of 340010224440 in words is "three hundred forty billion, ten million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1061 1180 1416 1770 2122 2360 3183 3540 4244 5305 6366 7080 8488 10610 12732 15915 21220 25464 31830 42440 45263 62599 63660 90526 125198 127320 135789 181052 187797 226315 250396 271578 312995 362104 375594 452630 500792 543156 625990 678945 751188 905260 938985 1086312 1251980 1357890 1502376 1810520 1877970 2503960 2670517 2715780 3755940 5341034 5431560 7511880 8011551 10682068 13352585 16023102 21364136 26705170 32046204 40057755 48024043 53410340 64092408 80115510 96048086 106820680 144072129 160231020 192096172 240120215 288144258 320462040 384192344 480240430 576288516 720360645 960480860 1152577032 1440721290 1920961720 2833418537 2881442580 5666837074 5762885160 8500255611 11333674148 14167092685 17000511222 22667348296 28334185370 34001022444 42501278055 56668370740 68002044888 85002556110 113336741480 170005112220 340010224440