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340404014440 = 235719388916453
BaseRepresentation
bin1001111010000011010…
…10010000110101101000
31012112122100012121212101
410331001222100311220
521034121411430230
6420213543223144
733410346244660
oct4750152206550
91175570177771
10340404014440
11121401212376
1255b80747ab4
132613b7c9a69
141269323b1a0
158cc489daca
hex4f41a90d68

340404014440 has 128 divisors (see below), whose sum is σ = 921687264000. Its totient is φ = 110532169728.

The previous prime is 340404014399. The next prime is 340404014471. The reversal of 340404014440 is 44410404043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 340404014399 and 340404014408.

It is an unprimeable number.

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, 20681254 + ... + 20697706.

It is an arithmetic number, because the mean of its divisors is an integer number (7200681750).

Almost surely, 2340404014440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340404014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460843632000).

340404014440 is an abundant number, since it is smaller than the sum of its proper divisors (581283249560).

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

340404014440 is a wasteful number, since it uses less digits than its factorization.

340404014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20379 (or 20375 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 340404014440 its reverse (44410404043), we get a palindrome (384814418483).

The spelling of 340404014440 in words is "three hundred forty billion, four hundred four million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 3889 5320 7778 15556 16453 19445 27223 31112 32906 38890 54446 65812 73891 77780 82265 108892 115171 131624 136115 147782 155560 164530 217784 230342 272230 295564 312607 329060 369455 460684 517237 544460 575855 591128 625214 658120 738910 921368 1034474 1088920 1151710 1250428 1477820 1563035 2068948 2188249 2303420 2500856 2586185 2955640 3126070 4137896 4376498 4606840 5172370 6252140 8752996 10344740 10941245 12504280 17505992 20689480 21882490 43764980 63985717 87529960 127971434 255942868 319928585 447900019 511885736 639857170 895800038 1215728623 1279714340 1791600076 2239500095 2431457246 2559428680 3583200152 4479000190 4862914492 6078643115 8510100361 8958000380 9725828984 12157286230 17020200722 17916000760 24314572460 34040401444 42550501805 48629144920 68080802888 85101003610 170202007220 340404014440