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344370768417 = 32132943339901
BaseRepresentation
bin1010000001011100001…
…10001110101000100001
31012220212210100121100100
411000232012032220201
521120232404042132
6422111324413013
733610554143244
oct5005606165041
91186783317310
10344370768417
11123057359345
12568a90a7169
132662157ab70
141294bdb925b
158e57c5837c
hex502e18ea21

344370768417 has 12 divisors (see below), whose sum is σ = 535687862164. Its totient is φ = 211920472800.

The previous prime is 344370768319. The next prime is 344370768419. The reversal of 344370768417 is 714867073443.

It can be written as a sum of positive squares in 2 ways, for example, as 120297291921 + 224073476496 = 346839^2 + 473364^2 .

It is not a de Polignac number, because 344370768417 - 222 = 344366574113 is a prime.

It is a super-2 number, since 2×3443707684172 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344370768419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1471669834 + ... + 1471670067.

Almost surely, 2344370768417 is an apocalyptic number.

It is an amenable number.

344370768417 is a deficient number, since it is larger than the sum of its proper divisors (191317093747).

344370768417 is a wasteful number, since it uses less digits than its factorization.

344370768417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943339920 (or 2943339917 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 344370768417 in words is "three hundred forty-four billion, three hundred seventy million, seven hundred sixty-eight thousand, four hundred seventeen".

Divisors: 1 3 9 13 39 117 2943339901 8830019703 26490059109 38263418713 114790256139 344370768417