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335413140 = 223523376569
BaseRepresentation
bin10011111111011…
…111111110010100
3212101010202022220
4103333133332110
51141331210030
653141022340
711211651606
oct2377377624
9771122286
10335413140
11162371947
12943b49b0
135464991a
1432791176
151e6a6a10
hex13fdff94

335413140 has 96 divisors (see below), whose sum is σ = 1006629120. Its totient is φ = 83229696.

The previous prime is 335413123. The next prime is 335413151. The reversal of 335413140 is 41314533.

It is a happy number.

It is a super-2 number, since 2×3354131402 = 225003948969319200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 335413140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47776 + ... + 54344.

It is an arithmetic number, because the mean of its divisors is an integer number (10485720).

Almost surely, 2335413140 is an apocalyptic number.

335413140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503314560).

335413140 is an abundant number, since it is smaller than the sum of its proper divisors (671215980).

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

335413140 is a wasteful number, since it uses less digits than its factorization.

335413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 335413140 is about 18314.2878649430. The cubic root of 335413140 is about 694.8003429041.

Adding to 335413140 its reverse (41314533), we get a palindrome (376727673).

The spelling of 335413140 in words is "three hundred thirty-five million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 555 690 740 851 1110 1380 1702 2220 2553 3404 4255 5106 6569 8510 10212 12765 13138 17020 19707 25530 26276 32845 39414 51060 65690 78828 98535 131380 151087 197070 243053 302174 394140 453261 486106 604348 729159 755435 906522 972212 1215265 1458318 1510870 1813044 2266305 2430530 2916636 3021740 3645795 4532610 4861060 5590219 7291590 9065220 11180438 14583180 16770657 22360876 27951095 33541314 55902190 67082628 83853285 111804380 167706570 335413140