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343466064 = 24322385181
BaseRepresentation
bin10100011110001…
…110000001010000
3212221021212212100
4110132032001100
51200411403224
654025400400
711340261534
oct2436160120
9787255770
10343466064
11166972157
1297039100
1356209176
1433889bc4
1520247ac9
hex1478e050

343466064 has 30 divisors (see below), whose sum is σ = 961228346. Its totient is φ = 114488640.

The previous prime is 343466047. The next prime is 343466077. The reversal of 343466064 is 460664343.

343466064 is a `hidden beast` number, since 3 + 4 + 3 + 46 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 209091600 + 134374464 = 14460^2 + 11592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1192447 + ... + 1192734.

Almost surely, 2343466064 is an apocalyptic number.

It is an amenable number.

343466064 is an abundant number, since it is smaller than the sum of its proper divisors (617762282).

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

343466064 is a wasteful number, since it uses less digits than its factorization.

343466064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385195 (or 2385186 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 343466064 is about 18532.8374513996. The cubic root of 343466064 is about 700.3169068471.

The spelling of 343466064 in words is "three hundred forty-three million, four hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2385181 4770362 7155543 9540724 14311086 19081448 21466629 28622172 38162896 42933258 57244344 85866516 114488688 171733032 343466064