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334005104 = 241910310667
BaseRepresentation
bin10011111010001…
…000001101110000
3212021111012212102
4103322020031300
51141001130404
653050515532
711163665546
oct2372101560
9767435772
10334005104
1116159aa84
1293a35ba8
1354275a74
1432505d96
151e4c971e
hex13e88370

334005104 has 40 divisors (see below), whose sum is σ = 687872640. Its totient is φ = 156662208.

The previous prime is 334005079. The next prime is 334005109. The reversal of 334005104 is 401500433.

It is a super-2 number, since 2×3340051042 = 223118818996101632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334005109) 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 7 ways as a sum of consecutive naturals, for example, 25979 + ... + 36645.

It is an arithmetic number, because the mean of its divisors is an integer number (17196816).

Almost surely, 2334005104 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 334005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343936320).

334005104 is an abundant number, since it is smaller than the sum of its proper divisors (353867536).

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

334005104 is a wasteful number, since it uses less digits than its factorization.

334005104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10797 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 334005104 is about 18275.8065211908. The cubic root of 334005104 is about 693.8267415688.

Adding to 334005104 its reverse (401500433), we get a palindrome (735505537).

The spelling of 334005104 in words is "three hundred thirty-four million, five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 103 152 206 304 412 824 1648 1957 3914 7828 10667 15656 21334 31312 42668 85336 170672 202673 405346 810692 1098701 1621384 2197402 3242768 4394804 8789608 17579216 20875319 41750638 83501276 167002552 334005104