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335413312 = 2613403141
BaseRepresentation
bin10011111111100…
…000000001000000
3212101010202120021
4103333200001000
51141331211222
653141023224
711211652243
oct2377400100
9771122507
10335413312
11162371a93
12943b4b14
1354649a20
143279125a
151e6a6ac7
hex13fe0040

335413312 has 28 divisors (see below), whose sum is σ = 716786476. Its totient is φ = 154805760.

The previous prime is 335413303. The next prime is 335413313. The reversal of 335413312 is 213314533.

335413312 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 2 ways, for example, as 191988736 + 143424576 = 13856^2 + 11976^2 .

It is a super-2 number, since 2×3354133122 = 225004179733618688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335413313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200739 + ... + 202402.

It is an arithmetic number, because the mean of its divisors is an integer number (25599517).

Almost surely, 2335413312 is an apocalyptic number.

335413312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

335413312 is an abundant number, since it is smaller than the sum of its proper divisors (381373164).

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

335413312 is a wasteful number, since it uses less digits than its factorization.

335413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403166 (or 403156 counting only the distinct ones).

The product of its digits is 3240, while the sum is 25.

The square root of 335413312 is about 18314.2925607297. The cubic root of 335413312 is about 694.8004616687.

Adding to 335413312 its reverse (213314533), we get a palindrome (548727845).

The spelling of 335413312 in words is "three hundred thirty-five million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 403141 806282 1612564 3225128 5240833 6450256 10481666 12900512 20963332 25801024 41926664 83853328 167706656 335413312