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343020331104 = 253112293114561
BaseRepresentation
bin1001111110111011001…
…10101110000001100000
31012210101200021021121120
410333131212232001200
521110001201043404
6421325324052240
733532235464233
oct4773546560140
91183350237546
10343020331104
11122524041850
1256590994080
1326467863729
14128608c941a
158dc94039d9
hex4fdd9ae060

343020331104 has 192 divisors, whose sum is σ = 989964218880. Its totient is φ = 103136256000.

The previous prime is 343020331021. The next prime is 343020331123. The reversal of 343020331104 is 401133020343.

343020331104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 75204984 + ... + 75209544.

It is an arithmetic number, because the mean of its divisors is an integer number (5156063640).

Almost surely, 2343020331104 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 343020331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494982109440).

343020331104 is an abundant number, since it is smaller than the sum of its proper divisors (646943887776).

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

343020331104 is a wasteful number, since it uses less digits than its factorization.

343020331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 343020331104 its reverse (401133020343), we get a palindrome (744153351447).

The spelling of 343020331104 in words is "three hundred forty-three billion, twenty million, three hundred thirty-one thousand, one hundred four".