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343321000065 = 34517241206909
BaseRepresentation
bin1001111111011111000…
…01101011100010000001
31012211011122000211220000
410333233201223202001
521111110134000230
6421415224310213
733542546231151
oct4775741534201
91184148024800
10343321000065
1112266883289a
1256655612369
13264b4c36b64
141288c7d4761
158de59e5b60
hex4fef86b881

343321000065 has 80 divisors (see below), whose sum is σ = 654343770960. Its totient is φ = 171617771520.

The previous prime is 343321000027. The next prime is 343321000067. The reversal of 343321000065 is 560000123343.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8041784976 + 335279215089 = 89676^2 + 579033^2 .

It is not a de Polignac number, because 343321000065 - 27 = 343320999937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (343321000067) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1555831 + ... + 1762739.

It is an arithmetic number, because the mean of its divisors is an integer number (8179297137).

Almost surely, 2343321000065 is an apocalyptic number.

It is an amenable number.

343321000065 is a deficient number, since it is larger than the sum of its proper divisors (311022770895).

343321000065 is a wasteful number, since it uses less digits than its factorization.

343321000065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207184 (or 207175 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 343321000065 in words is "three hundred forty-three billion, three hundred twenty-one million, sixty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 241 255 405 459 723 765 1205 1377 2169 2295 3615 4097 6507 6885 10845 12291 19521 20485 32535 36873 61455 97605 110619 184365 206909 331857 553095 620727 1034545 1659285 1862181 3103635 3517453 5586543 9310905 10552359 16759629 17587265 27932715 31657077 49865069 52761795 83798145 94971231 149595207 158285385 249325345 284913693 448785621 474856155 747976035 847706173 1346356863 1424568465 2243928105 2543118519 4039070589 4238530865 6731784315 7629355557 12715592595 20195352945 22888066671 38146777785 68664200013 114440333355 343321000065