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335211104 = 2561832069
BaseRepresentation
bin10011111110101…
…110101001100000
3212100202111012002
4103332232221200
51141303223404
653132423132
711210150564
oct2376565140
9770674162
10335211104
11162244078
1294317aa8
13545a8987
143273b6a4
151e666c1e
hex13faea60

335211104 has 48 divisors (see below), whose sum is σ = 679175280. Its totient is φ = 162792960.

The previous prime is 335211089. The next prime is 335211143. The reversal of 335211104 is 401112533.

335211104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3352111042 = 224732968489797632, 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, 160982 + ... + 163050.

It is an arithmetic number, because the mean of its divisors is an integer number (14149485).

Almost surely, 2335211104 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 335211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339587640).

335211104 is an abundant number, since it is smaller than the sum of its proper divisors (343964176).

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

335211104 is a wasteful number, since it uses less digits than its factorization.

335211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 335211104 is about 18308.7712312979. The cubic root of 335211104 is about 694.6608106281.

Adding to 335211104 its reverse (401112533), we get a palindrome (736323637).

The spelling of 335211104 in words is "three hundred thirty-five million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 83 122 166 244 332 488 664 976 1328 1952 2069 2656 4138 5063 8276 10126 16552 20252 33104 40504 66208 81008 126209 162016 171727 252418 343454 504836 686908 1009672 1373816 2019344 2747632 4038688 5495264 10475347 20950694 41901388 83802776 167605552 335211104