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335405340 = 223352692309
BaseRepresentation
bin10011111111011…
…110000100011100
3212101010100122000
4103333132010130
51141330432330
653140522300
711211620064
oct2377360434
9771110560
10335405340
11162366aa6
12943b0390
13546461ca
143278c3a4
151e6a4560
hex13fde11c

335405340 has 96 divisors (see below), whose sum is σ = 1047816000. Its totient is φ = 89070336.

The previous prime is 335405293. The next prime is 335405341. The reversal of 335405340 is 43504533.

It is a happy number.

335405340 is a `hidden beast` number, since 33 + 540 + 53 + 40 = 666.

It is a super-2 number, since 2×3354053402 = 224993484201031200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335405341) 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 31 ways as a sum of consecutive naturals, for example, 144106 + ... + 146414.

It is an arithmetic number, because the mean of its divisors is an integer number (10914750).

Almost surely, 2335405340 is an apocalyptic number.

335405340 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 335405340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523908000).

335405340 is an abundant number, since it is smaller than the sum of its proper divisors (712410660).

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

335405340 is a wasteful number, since it uses less digits than its factorization.

335405340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 335405340 is about 18314.0749152121. The cubic root of 335405340 is about 694.7949570241.

Adding to 335405340 its reverse (43504533), we get a palindrome (378909873).

The spelling of 335405340 in words is "three hundred thirty-five million, four hundred five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 269 270 538 540 807 1076 1345 1614 2309 2421 2690 3228 4035 4618 4842 5380 6927 7263 8070 9236 9684 11545 12105 13854 14526 16140 20781 23090 24210 27708 29052 34635 36315 41562 46180 48420 62343 69270 72630 83124 103905 124686 138540 145260 207810 249372 311715 415620 621121 623430 1242242 1246860 1863363 2484484 3105605 3726726 5590089 6211210 7453452 9316815 11180178 12422420 16770267 18633630 22360356 27950445 33540534 37267260 55900890 67081068 83851335 111801780 167702670 335405340