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343412424400 = 2452858531061
BaseRepresentation
bin1001111111101001111…
…10011011111011010000
31012211102000001200111111
410333310332123323100
521111302040040100
6421432252023104
733545036305333
oct4776476337320
91184360050444
10343412424400
111227053a72a1
1256680161a94
13264cab671b6
141289a9d261a
158deda546ba
hex4ff4f9bed0

343412424400 has 30 divisors (see below), whose sum is σ = 825048350582. Its totient is φ = 137364969600.

The previous prime is 343412424367. The next prime is 343412424401. The reversal of 343412424400 is 4424214343.

It can be written as a sum of positive squares in 3 ways, for example, as 5274826384 + 338137598016 = 72628^2 + 581496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343412424401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 429265131 + ... + 429265930.

Almost surely, 2343412424400 is an apocalyptic number.

It is an amenable number.

343412424400 is an abundant number, since it is smaller than the sum of its proper divisors (481635926182).

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

343412424400 is a wasteful number, since it uses less digits than its factorization.

343412424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858531079 (or 858531068 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 343412424400 its reverse (4424214343), we get a palindrome (347836638743).

The spelling of 343412424400 in words is "three hundred forty-three billion, four hundred twelve million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 858531061 1717062122 3434124244 4292655305 6868248488 8585310610 13736496976 17170621220 21463276525 34341242440 42926553050 68682484880 85853106100 171706212200 343412424400