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34341124030344 = 23321741798662079
BaseRepresentation
bin1111100111011101010100…
…11111111011111110001000
311111120222102222102200102100
413303232222133323332020
514000121110222432334
6201012032233033400
710143031031665125
oct763565237737610
9144528388380370
1034341124030344
11aa3aa9727565a
123a27658b55860
13162147ac61541
1486a1953d174c
153e845895ac99
hex1f3baa7fbf88

34341124030344 has 192 divisors, whose sum is σ = 102157106688000. Its totient is φ = 10377862410240.

The previous prime is 34341124030333. The next prime is 34341124030349. The reversal of 34341124030344 is 44303042114343.

34341124030344 is a `hidden beast` number, since 3 + 4 + 3 + 41 + 1 + 240 + 30 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34341124030299 and 34341124030308.

It is not an unprimeable number, because it can be changed into a prime (34341124030349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366504 + ... + 8295575.

It is an arithmetic number, because the mean of its divisors is an integer number (532068264000).

Almost surely, 234341124030344 is an apocalyptic number.

34341124030344 is a gapful number since it is divisible by the number (34) 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 34341124030344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51078553344000).

34341124030344 is an abundant number, since it is smaller than the sum of its proper divisors (67815982657656).

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

34341124030344 is a wasteful number, since it uses less digits than its factorization.

34341124030344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8662228 (or 8662221 counting only the distinct ones).

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

Adding to 34341124030344 its reverse (44303042114343), we get a palindrome (78644166144687).

The spelling of 34341124030344 in words is "thirty-four trillion, three hundred forty-one billion, one hundred twenty-four million, thirty thousand, three hundred forty-four".