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335442144 = 25319717737
BaseRepresentation
bin10011111111100…
…111000011100000
3212101012020010010
4103333213003200
51141333122034
653141404520
711212132302
oct2377470340
9771166103
10335442144
11162391714
1294409740
1354659b9b
143279b972
151e6b03e9
hex13fe70e0

335442144 has 48 divisors (see below), whose sum is σ = 885055248. Its totient is φ = 111240192.

The previous prime is 335442119. The next prime is 335442209. The reversal of 335442144 is 441244533.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3354421442 = 225042863942633472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10044 + ... + 27780.

It is an arithmetic number, because the mean of its divisors is an integer number (18438651).

Almost surely, 2335442144 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 335442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442527624).

335442144 is an abundant number, since it is smaller than the sum of its proper divisors (549613104).

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

335442144 is a wasteful number, since it uses less digits than its factorization.

335442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17947 (or 17939 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 335442144 is about 18315.0796886063. The cubic root of 335442144 is about 694.8203693589.

Adding to 335442144 its reverse (441244533), we get a palindrome (776686677).

The spelling of 335442144 in words is "three hundred thirty-five million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 17737 18912 35474 53211 70948 106422 141896 212844 283792 425688 567584 851376 1702752 3494189 6988378 10482567 13976756 20965134 27953512 41930268 55907024 83860536 111814048 167721072 335442144