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344023243014 = 2311113386311941
BaseRepresentation
bin1010000000110010110…
…00100001100100000110
31012212222120102111010010
411000121120201210012
521114024422234024
6422013032011050
733566134213533
oct5003130414406
91185876374103
10344023243014
11122999174370
1256810830a86
1326597580129
1412917b93d8a
158e374acb29
hex5019621906

344023243014 has 64 divisors (see below), whose sum is σ = 757498065408. Its totient is φ = 103291507200.

The previous prime is 344023243013. The next prime is 344023243049. The reversal of 344023243014 is 410342320443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344023243013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28804284 + ... + 28816224.

It is an arithmetic number, because the mean of its divisors is an integer number (11835907272).

Almost surely, 2344023243014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344023243014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378749032704).

344023243014 is an abundant number, since it is smaller than the sum of its proper divisors (413474822394).

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

344023243014 is a wasteful number, since it uses less digits than its factorization.

344023243014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 344023243014 its reverse (410342320443), we get a palindrome (754365563457).

The spelling of 344023243014 in words is "three hundred forty-four billion, twenty-three million, two hundred forty-three thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 113 226 339 678 1243 2486 3729 3863 7458 7726 11589 11941 23178 23882 35823 42493 71646 84986 127479 131351 254958 262702 394053 436519 788106 873038 1309557 1349333 2619114 2698666 4047999 4801709 8095998 9603418 14405127 14842663 28810254 29685326 44527989 46128083 89055978 92256166 138384249 276768498 507408913 1014817826 1522226739 3044453478 5212473379 10424946758 15637420137 31274840274 57337207169 114674414338 172011621507 344023243014