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335240000 = 265417229
BaseRepresentation
bin10011111110110…
…101101101000000
3212100210221211022
4103332311231000
51141310140000
653133205012
711210331044
oct2376655500
9770727738
10335240000
11162263857
1294330768
13545b8b84
1432748024
151e670585
hex13fb5b40

335240000 has 210 divisors, whose sum is σ = 913512270. Its totient is φ = 121856000.

The previous prime is 335239991. The next prime is 335240011. The reversal of 335240000 is 42533.

It can be written as a sum of positive squares in 15 ways, for example, as 280361536 + 54878464 = 16744^2 + 7408^2 .

It is a super-2 number, since 2×3352400002 = 224771715200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11559986 + ... + 11560014.

Almost surely, 2335240000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456756135).

335240000 is an abundant number, since it is smaller than the sum of its proper divisors (578272270).

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

335240000 is an equidigital number, since it uses as much as digits as its factorization.

335240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 335240000 is about 18309.5603442573. The cubic root of 335240000 is about 694.6807705298.

Adding to 335240000 its reverse (42533), we get a palindrome (335282533).

The spelling of 335240000 in words is "three hundred thirty-five million, two hundred forty thousand".