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343777440344 = 23133305552311
BaseRepresentation
bin1010000000010101011…
…10110111001001011000
31012212100102220102020112
411000022232313021120
521113024011042334
6421532411343452
733560061012632
oct5001256671130
91185312812215
10343777440344
11122882448168
1256762451b88
132655867a070
14128d328ba52
158e20b074ce
hex500abb7258

343777440344 has 16 divisors (see below), whose sum is σ = 694165985520. Its totient is φ = 158666510880.

The previous prime is 343777440287. The next prime is 343777440361. The reversal of 343777440344 is 443044777343.

It is a junction number, because it is equal to n+sod(n) for n = 343777440292 and 343777440301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1652776052 + ... + 1652776259.

It is an arithmetic number, because the mean of its divisors is an integer number (43385374095).

Almost surely, 2343777440344 is an apocalyptic number.

It is an amenable number.

343777440344 is an abundant number, since it is smaller than the sum of its proper divisors (350388545176).

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

343777440344 is a wasteful number, since it uses less digits than its factorization.

343777440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305552330 (or 3305552326 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 50.

The spelling of 343777440344 in words is "three hundred forty-three billion, seven hundred seventy-seven million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 3305552311 6611104622 13222209244 26444418488 42972180043 85944360086 171888720172 343777440344