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341314321344 = 26315149123977
BaseRepresentation
bin1001111011101111110…
…10110011101111000000
31012121222210010000011220
410331313322303233000
521043002431240334
6420444142235040
733442041601653
oct4756772635700
91177883100156
10341314321344
11121829044427
1256195585a80
13262552918b9
141273c0bb89a
158d29764449
hex4f77eb3bc0

341314321344 has 112 divisors (see below), whose sum is σ = 910930742016. Its totient is φ = 112783104000.

The previous prime is 341314321291. The next prime is 341314321363. The reversal of 341314321344 is 443123413143.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14223084 + ... + 14247060.

Almost surely, 2341314321344 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 341314321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455465371008).

341314321344 is an abundant number, since it is smaller than the sum of its proper divisors (569616420672).

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

341314321344 is a wasteful number, since it uses less digits than its factorization.

341314321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24634 (or 24624 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 341314321344 its reverse (443123413143), we get a palindrome (784437734487).

The spelling of 341314321344 in words is "three hundred forty-one billion, three hundred fourteen million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 491 604 906 982 1208 1473 1812 1964 2416 2946 3624 3928 4832 5892 7248 7856 9664 11784 14496 15712 23568 23977 28992 31424 47136 47954 71931 74141 94272 95908 143862 148282 191816 222423 287724 296564 383632 444846 575448 593128 767264 889692 1150896 1186256 1534528 1779384 2301792 2372512 3558768 3620527 4603584 4745024 7117536 7241054 10861581 11772707 14235072 14482108 21723162 23545414 28964216 35318121 43446324 47090828 57928432 70636242 86892648 94181656 115856864 141272484 173785296 188363312 231713728 282544968 347570592 376726624 565089936 695141184 753453248 1130179872 1777678757 2260359744 3555357514 5333036271 7110715028 10666072542 14221430056 21332145084 28442860112 42664290168 56885720224 85328580336 113771440448 170657160672 341314321344