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343327427431016 = 2377416782662733
BaseRepresentation
bin100111000010000010010010…
…1010110101000101001101000
31200000121210002201121202112012
41032010010211112220221220
5330000034032410243031
63214110235350135052
7132213405465200150
oct11604044526505150
91600553081552465
10343327427431016
119a438387291426
123260b1a4951488
1311975839735aa2
1460ad1c9853760
1529a5b032e4b2b
hex13841255a8a68

343327427431016 has 32 divisors (see below), whose sum is σ = 735711558637440. Its totient is φ = 147138340356288.

The previous prime is 343327427430961. The next prime is 343327427431039. The reversal of 343327427431016 is 610134724723343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37178015 + ... + 45484718.

It is an arithmetic number, because the mean of its divisors is an integer number (22990986207420).

Almost surely, 2343327427431016 is an apocalyptic number.

It is an amenable number.

343327427431016 is an abundant number, since it is smaller than the sum of its proper divisors (392384131206424).

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

343327427431016 is a wasteful number, since it uses less digits than its factorization.

343327427431016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82736913 (or 82736909 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 50.

The spelling of 343327427431016 in words is "three hundred forty-three trillion, three hundred twenty-seven billion, four hundred twenty-seven million, four hundred thirty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 74167 148334 296668 519169 593336 1038338 2076676 4153352 82662733 165325466 330650932 578639131 661301864 1157278262 2314556524 4629113048 6130846918411 12261693836822 24523387673644 42915928428877 49046775347288 85831856857754 171663713715508 343327427431016