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335345540 = 22530375521
BaseRepresentation
bin10011111111001…
…111011110000100
3212101000022121012
4103333033132010
51141322024130
653135341352
711211250535
oct2377173604
9771008535
10335345540
11162326082
1294381858
1354624c1a
143277468c
151e691995
hex13fcf784

335345540 has 24 divisors (see below), whose sum is σ = 704585112. Its totient is φ = 134069760.

The previous prime is 335345537. The next prime is 335345551. The reversal of 335345540 is 45543533.

335345540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50951044 + 284394496 = 7138^2 + 16864^2 .

It is a super-2 number, since 2×3353455402 = 224913262395783200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335345497 and 335345506.

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, 57980 + ... + 63500.

It is an arithmetic number, because the mean of its divisors is an integer number (29357713).

Almost surely, 2335345540 is an apocalyptic number.

It is an amenable number.

335345540 is an abundant number, since it is smaller than the sum of its proper divisors (369239572).

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

335345540 is a wasteful number, since it uses less digits than its factorization.

335345540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8567 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The square root of 335345540 is about 18312.4422183389. The cubic root of 335345540 is about 694.7536625038.

The spelling of 335345540 in words is "three hundred thirty-five million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 3037 5521 6074 11042 12148 15185 22084 27605 30370 55210 60740 110420 16767277 33534554 67069108 83836385 167672770 335345540