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335302020 = 2232513713597
BaseRepresentation
bin10011111111000…
…100110110000100
3212100221002220100
4103333010312010
51141314131040
653134404100
711211006624
oct2377046604
9770832810
10335302020
111622a6409
1294360630
135460b181
1432762884
151e683b30
hex13fc4d84

335302020 has 72 divisors (see below), whose sum is σ = 1024582104. Its totient is φ = 88754688.

The previous prime is 335302013. The next prime is 335302021. The reversal of 335302020 is 20203533.

It can be written as a sum of positive squares in 4 ways, for example, as 5225796 + 330076224 = 2286^2 + 18168^2 .

It is a super-2 number, since 2×3353020202 = 224854889232160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 335301984 and 335302002.

It is not an unprimeable number, because it can be changed into a prime (335302021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17862 + ... + 31458.

It is an arithmetic number, because the mean of its divisors is an integer number (14230307).

Almost surely, 2335302020 is an apocalyptic number.

335302020 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 335302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512291052).

335302020 is an abundant number, since it is smaller than the sum of its proper divisors (689280084).

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

335302020 is a wasteful number, since it uses less digits than its factorization.

335302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749 (or 13744 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 335302020 is about 18311.2539166492. The cubic root of 335302020 is about 694.7236069503.

Adding to 335302020 its reverse (20203533), we get a palindrome (355505553).

The spelling of 335302020 in words is "three hundred thirty-five million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 8220 12330 13597 24660 27194 40791 54388 67985 81582 122373 135970 163164 203955 244746 271940 407910 489492 611865 815820 1223730 1862789 2447460 3725578 5588367 7451156 9313945 11176734 16765101 18627890 22353468 27941835 33530202 37255780 55883670 67060404 83825505 111767340 167651010 335302020