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335404420 = 225134013217
BaseRepresentation
bin10011111111011…
…101110110000100
3212101010022100221
4103333131312010
51141330420140
653140514124
711211614311
oct2377356604
9771108327
10335404420
1116236633a
12943ab944
1354645970
143278bd08
151e6a414a
hex13fddd84

335404420 has 48 divisors (see below), whose sum is σ = 760657968. Its totient is φ = 123494400.

The previous prime is 335404417. The next prime is 335404427. The reversal of 335404420 is 24404533.

335404420 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 8 ways, for example, as 31181056 + 304223364 = 5584^2 + 17442^2 .

It is a super-2 number, since 2×3354044202 = 224992249911072800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335404427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102652 + ... + 105868.

It is an arithmetic number, because the mean of its divisors is an integer number (15847041).

Almost surely, 2335404420 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 335404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380328984).

335404420 is an abundant number, since it is smaller than the sum of its proper divisors (425253548).

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

335404420 is a wasteful number, since it uses less digits than its factorization.

335404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 335404420 is about 18314.0497979011. The cubic root of 335404420 is about 694.7943217610.

Adding to 335404420 its reverse (24404533), we get a palindrome (359808953).

The spelling of 335404420 in words is "three hundred thirty-five million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 401 802 1604 2005 3217 4010 5213 6434 8020 10426 12868 16085 20852 26065 32170 41821 52130 64340 83642 104260 167284 209105 418210 836420 1290017 2580034 5160068 6450085 12900170 16770221 25800340 33540442 67080884 83851105 167702210 335404420