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340222254064 = 247111381199967
BaseRepresentation
bin1001111001101101101…
…00111001101111110000
31012112011200012020111121
410330312310321233300
521033233344112224
6420143531352024
733403011305230
oct4746664715760
91175150166447
10340222254064
11121318658090
1255b2b8b2614
132610cc5a844
1412677045cc0
158cb3948be4
hex4f36d39bf0

340222254064 has 80 divisors (see below), whose sum is σ = 822434789376. Its totient is φ = 132457478400.

The previous prime is 340222254023. The next prime is 340222254101. The reversal of 340222254064 is 460452222043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601409 + ... + 1801375.

Almost surely, 2340222254064 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 340222254064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411217394688).

340222254064 is an abundant number, since it is smaller than the sum of its proper divisors (482212535312).

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

340222254064 is a wasteful number, since it uses less digits than its factorization.

340222254064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201374 (or 201368 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The spelling of 340222254064 in words is "three hundred forty billion, two hundred twenty-two million, two hundred fifty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1381 2762 5524 9667 11048 15191 19334 22096 30382 38668 60764 77336 106337 121528 154672 199967 212674 243056 399934 425348 799868 850696 1399769 1599736 1701392 2199637 2799538 3199472 4399274 5599076 8798548 11198152 15397459 17597096 22396304 30794918 35194192 61589836 123179672 246359344 276154427 552308854 1104617708 1933080989 2209235416 3037698697 3866161978 4418470832 6075397394 7732323956 12150794788 15464647912 21263890879 24301589576 30929295824 42527781758 48603179152 85055563516 170111127032 340222254064