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335486340 = 223357231409
BaseRepresentation
bin10011111111110…
…001110110000100
3212101021110202000
4103333301312010
51141341030330
653142345300
711212405200
oct2377616604
9771243660
10335486340
11162411942
129442b230
1354674037
14327adb00
151e6bd560
hex13ff1d84

335486340 has 288 divisors, whose sum is σ = 1256371200. Its totient is φ = 74027520.

The previous prime is 335486323. The next prime is 335486341. The reversal of 335486340 is 43684533.

It is a super-2 number, since 2×3354863402 = 225102168653191200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 335486295 and 335486304.

It is not an unprimeable number, because it can be changed into a prime (335486341) 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 95 ways as a sum of consecutive naturals, for example, 820056 + ... + 820464.

It is an arithmetic number, because the mean of its divisors is an integer number (4362400).

Almost surely, 2335486340 is an apocalyptic number.

335486340 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 335486340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628185600).

335486340 is an abundant number, since it is smaller than the sum of its proper divisors (920884860).

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

335486340 is a wasteful number, since it uses less digits than its factorization.

335486340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 335486340 is about 18316.2861956238. The cubic root of 335486340 is about 694.8508832474.

The spelling of 335486340 in words is "three hundred thirty-five million, four hundred eighty-six thousand, three hundred forty".