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345136840 = 2358628421
BaseRepresentation
bin10100100100100…
…101111011001000
3220001102202201221
4110210211323020
51201323334330
654125251424
711360420566
oct2444457310
9801382657
10345136840
11167903464
1297703b74
13566727a9
1433ba2a36
1520477b7a
hex14925ec8

345136840 has 16 divisors (see below), whose sum is σ = 776557980. Its totient is φ = 138054720.

The previous prime is 345136819. The next prime is 345136849. The reversal of 345136840 is 48631543.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 339075396 + 6061444 = 18414^2 + 2462^2 .

It is a super-3 number, since 3×3451368403 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345136796 and 345136805.

It is not an unprimeable number, because it can be changed into a prime (345136849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4314171 + ... + 4314250.

Almost surely, 2345136840 is an apocalyptic number.

It is an amenable number.

345136840 is an abundant number, since it is smaller than the sum of its proper divisors (431421140).

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

345136840 is a wasteful number, since it uses less digits than its factorization.

345136840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628432 (or 8628428 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 345136840 is about 18577.8588647885. The cubic root of 345136840 is about 701.4506244176.

The spelling of 345136840 in words is "three hundred forty-five million, one hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 8628421 17256842 34513684 43142105 69027368 86284210 172568420 345136840