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343400401000 = 23531643320897
BaseRepresentation
bin1001111111101000100…
…00100100100001101000
31012211101011102211111101
410333310100210201220
521111241000313000
6421431142211144
733544532150566
oct4776420444150
91184334384441
10343400401000
111226a96349a8
1256678123ab4
13264c8517667
1412899182a36
158dec97be6a
hex4ff4424868

343400401000 has 64 divisors (see below), whose sum is σ = 803644292880. Its totient is φ = 137345228800.

The previous prime is 343400400983. The next prime is 343400401009. The reversal of 343400401000 is 104004343.

It can be written as a sum of positive squares in 8 ways, for example, as 98381340964 + 245019060036 = 313658^2 + 494994^2 .

It is not an unprimeable number, because it can be changed into a prime (343400401009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16422552 + ... + 16443448.

Almost surely, 2343400401000 is an apocalyptic number.

It is an amenable number.

343400401000 is an abundant number, since it is smaller than the sum of its proper divisors (460243891880).

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

343400401000 is a wasteful number, since it uses less digits than its factorization.

343400401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37351 (or 37337 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 343400401000 its reverse (104004343), we get a palindrome (343504405343).

The spelling of 343400401000 in words is "three hundred forty-three billion, four hundred million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 16433 20897 32866 41794 65732 82165 83588 104485 131464 164330 167176 208970 328660 410825 417940 522425 657320 821650 835880 1044850 1643300 2054125 2089700 2612125 3286600 4108250 4179400 5224250 8216500 10448500 16433000 20897000 343400401 686800802 1373601604 1717002005 2747203208 3434004010 6868008020 8585010025 13736016040 17170020050 34340040100 42925050125 68680080200 85850100250 171700200500 343400401000