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334204304 = 24723113751
BaseRepresentation
bin10011111010111…
…000110110010000
3212021212100010012
4103322320312100
51141024014204
653055054052
711165455400
oct2372706620
9767770105
10334204304
11161716705
1293b11328
1354315635
1432558800
151e51876e
hex13eb8d90

334204304 has 60 divisors (see below), whose sum is σ = 777593088. Its totient is φ = 138600000.

The previous prime is 334204267. The next prime is 334204327. The reversal of 334204304 is 403402433.

It is a happy number.

334204304 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 2×3342043042 = 223385033624248832, 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 334204304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17429 + ... + 31179.

Almost surely, 2334204304 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 334204304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388796544).

334204304 is an abundant number, since it is smaller than the sum of its proper divisors (443388784).

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

334204304 is a wasteful number, since it uses less digits than its factorization.

334204304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13804 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 334204304 is about 18281.2555367513. The cubic root of 334204304 is about 693.9646464673.

Adding to 334204304 its reverse (403402433), we get a palindrome (737606737).

The spelling of 334204304 in words is "three hundred thirty-four million, two hundred four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 3038 3472 6076 12152 13751 24304 27502 55004 96257 110008 192514 220016 385028 426281 673799 770056 852562 1347598 1540112 1705124 2695196 2983967 3410248 5390392 5967934 6820496 10780784 11935868 20887769 23871736 41775538 47743472 83551076 167102152 334204304