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334204416 = 2932713797
BaseRepresentation
bin10011111010111…
…000111000000000
3212021212100021100
4103322320320000
51141024020131
653055054400
711165455620
oct2372707000
9767770240
10334204416
111617167a7
1293b11400
13543156c0
1432558880
151e5187e6
hex13eb8e00

334204416 has 240 divisors, whose sum is σ = 1188611424. Its totient is φ = 88031232.

The previous prime is 334204391. The next prime is 334204417. The reversal of 334204416 is 614402433.

334204416 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 2×3342044162 = 223385183347802112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334204416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334204417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418930 + ... + 419726.

Almost surely, 2334204416 is an apocalyptic number.

334204416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594305712).

334204416 is an abundant number, since it is smaller than the sum of its proper divisors (854407008).

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

334204416 is a wasteful number, since it uses less digits than its factorization.

334204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 334204416 is about 18281.2585999980. The cubic root of 334204416 is about 693.9647239888.

Adding to 334204416 its reverse (614402433), we get a palindrome (948606849).

The spelling of 334204416 in words is "three hundred thirty-four million, two hundred four thousand, four hundred sixteen".