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334615940 = 22573229189
BaseRepresentation
bin10011111100011…
…101010110000100
3212022122020202222
4103330131112010
51141130202230
653111551512
711202121451
oct2374352604
9768566688
10334615940
111619779aa
129408b598
135442aac9
1432624828
151e59a6e5
hex13f1d584

334615940 has 24 divisors (see below), whose sum is σ = 712322520. Its totient is φ = 132012288.

The previous prime is 334615909. The next prime is 334615961. The reversal of 334615940 is 49516433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 238144 + 334377796 = 488^2 + 18286^2 .

It is a super-3 number, since 3×3346159403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 334615940.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113135 + ... + 116054.

It is an arithmetic number, because the mean of its divisors is an integer number (29680105).

Almost surely, 2334615940 is an apocalyptic number.

It is an amenable number.

334615940 is an abundant number, since it is smaller than the sum of its proper divisors (377706580).

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

334615940 is a wasteful number, since it uses less digits than its factorization.

334615940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229271 (or 229269 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 334615940 is about 18292.5104892686. The cubic root of 334615940 is about 694.2494459409.

The spelling of 334615940 in words is "three hundred thirty-four million, six hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 229189 458378 916756 1145945 2291890 4583780 16730797 33461594 66923188 83653985 167307970 334615940