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340800616436 = 22712171450587
BaseRepresentation
bin1001111010110010100…
…11001011011111110100
31012120122222111002112012
410331121103023133310
521040424424211221
6420321151543352
733423233305010
oct4753123133764
91176588432465
10340800616436
11121595077315
125607152ab58
13261a2a1b7b7
14126cdb99540
158ce95e065b
hex4f594cb7f4

340800616436 has 12 divisors (see below), whose sum is σ = 681601232928. Its totient is φ = 146057407032.

The previous prime is 340800616423. The next prime is 340800616439. The reversal of 340800616436 is 634616008043.

340800616436 is an admirable number.

It is a super-2 number, since 2×3408006164362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340800616393 and 340800616402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340800616439) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6085725266 + ... + 6085725321.

It is an arithmetic number, because the mean of its divisors is an integer number (56800102744).

Almost surely, 2340800616436 is an apocalyptic number.

It is an amenable number.

340800616436 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

340800616436 is a wasteful number, since it uses less digits than its factorization.

340800616436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171450598 (or 12171450596 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 340800616436 in words is "three hundred forty billion, eight hundred million, six hundred sixteen thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 12171450587 24342901174 48685802348 85200154109 170400308218 340800616436