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334305114 = 2311131920507
BaseRepresentation
bin10011111011010…
…001011101011010
3212022001110101220
4103323101131122
51141040230424
653101152510
711166355323
oct2373213532
9768043356
10334305114
11161785420
1293b5b736
135434c4a0
143258344a
151e538579
hex13ed175a

334305114 has 64 divisors (see below), whose sum is σ = 826882560. Its totient is φ = 88585920.

The previous prime is 334305113. The next prime is 334305121. The reversal of 334305114 is 411503433.

It is a happy number.

334305114 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 2×3343051142 = 223519818493105992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334305113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6049 + ... + 26555.

It is an arithmetic number, because the mean of its divisors is an integer number (12920040).

Almost surely, 2334305114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334305114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413441280).

334305114 is an abundant number, since it is smaller than the sum of its proper divisors (492577446).

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

334305114 is a wasteful number, since it uses less digits than its factorization.

334305114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20555.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 334305114 is about 18284.0125246074. The cubic root of 334305114 is about 694.0344157095.

Adding to 334305114 its reverse (411503433), we get a palindrome (745808547).

The spelling of 334305114 in words is "three hundred thirty-four million, three hundred five thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 494 627 741 858 1254 1482 2717 5434 8151 16302 20507 41014 61521 123042 225577 266591 389633 451154 533182 676731 779266 799773 1168899 1353462 1599546 2337798 2932501 4285963 5065229 5865002 8571926 8797503 10130458 12857889 15195687 17595006 25715778 30391374 55717519 111435038 167152557 334305114