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343213311230240 = 255112917333880207
BaseRepresentation
bin100111000001001101001001…
…1011111111000000100100000
31200000012212112202212010012112
41032002122103133320010200
5324441201330133331430
63213542004000014452
7132202225542404303
oct11602322337700440
91600185482763175
10343213311230240
119a3a3a477007a0
12325b1057601428
1311967b51520929
1460a7881b0cb3a
1529a2b74b72195
hex13826937f8120

343213311230240 has 192 divisors, whose sum is σ = 915584433845760. Its totient is φ = 120431660912640.

The previous prime is 343213311230213. The next prime is 343213311230297. The reversal of 343213311230240 is 42032113312343.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 343213311230197 and 343213311230206.

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, 86512217 + ... + 90392423.

It is an arithmetic number, because the mean of its divisors is an integer number (4768668926280).

Almost surely, 2343213311230240 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 343213311230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457792216922880).

343213311230240 is an abundant number, since it is smaller than the sum of its proper divisors (572371122615520).

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

343213311230240 is a wasteful number, since it uses less digits than its factorization.

343213311230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881995 (or 3881987 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 343213311230240 its reverse (42032113312343), we get a palindrome (385245424542583).

The spelling of 343213311230240 in words is "three hundred forty-three trillion, two hundred thirteen billion, three hundred eleven million, two hundred thirty thousand, two hundred forty".