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343421143404300 = 2232521329352234479
BaseRepresentation
bin100111000010101101111011…
…1010000101100111100001100
31200000221201222221202110200200
41032011123313100230330030
5330003103000202414200
63214221254552453500
7132223234035626103
oct11605336720547414
91600851887673620
10343421143404300
119a4740a8532215
123262539a0aa290
1311981623382310
1460b395a08d03a
1529a828a9e0800
hex13856f742cf0c

343421143404300 has 108 divisors (see below), whose sum is σ = 1159237148553120. Its totient is φ = 84534435296640.

The previous prime is 343421143404257. The next prime is 343421143404307. The reversal of 343421143404300 is 3404341124343.

343421143404300 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 2 + 1 + 1 + 4 + 340 + 4 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (343421143404307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14676105540 + ... + 14676128939.

Almost surely, 2343421143404300 is an apocalyptic number.

343421143404300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343421143404300 is an abundant number, since it is smaller than the sum of its proper divisors (815816005148820).

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

343421143404300 is a wasteful number, since it uses less digits than its factorization.

343421143404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29352234512 (or 29352234502 counting only the distinct ones).

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

Adding to 343421143404300 its reverse (3404341124343), we get a palindrome (346825484528643).

The spelling of 343421143404300 in words is "three hundred forty-three trillion, four hundred twenty-one billion, one hundred forty-three million, four hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 29352234479 58704468958 88056703437 117408937916 146761172395 176113406874 264170110311 293522344790 352226813748 381579048227 440283517185 528340220622 587044689580 733805861975 763158096454 880567034370 1056680441244 1144737144681 1320850551555 1467611723950 1526316192908 1761134068740 1907895241135 2201417585925 2289474289362 2641701103110 2935223447900 3434211434043 3815790482270 4402835171850 4578948578724 5283402206220 5723685723405 6604252757775 6868422868086 7631580964540 8805670343700 9539476205675 11447371446810 13208505515550 13736845736172 17171057170215 19078952411350 22894742893620 26417011031100 28618428617025 34342114340430 38157904822700 57236857234050 68684228680860 85855285851075 114473714468100 171710571702150 343421143404300