Search a number
-
+
334314030 = 235291991931
BaseRepresentation
bin10011111011010…
…011101000101110
3212022001220122010
4103323103220232
51141041022110
653101302050
711166423321
oct2373235056
9768056563
10334314030
11161791096
1293b64926
135435356b
14325867b8
151e53b020
hex13ed3a2e

334314030 has 64 divisors (see below), whose sum is σ = 834624000. Its totient is φ = 85599360.

The previous prime is 334314011. The next prime is 334314031. The reversal of 334314030 is 30413433.

It is a super-2 number, since 2×3343140302 = 223531741309681800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334313988 and 334314006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334314031) 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, 172165 + ... + 174095.

It is an arithmetic number, because the mean of its divisors is an integer number (13041000).

Almost surely, 2334314030 is an apocalyptic number.

334314030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334314030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417312000).

334314030 is an abundant number, since it is smaller than the sum of its proper divisors (500309970).

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

334314030 is a wasteful number, since it uses less digits than its factorization.

334314030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 334314030 is about 18284.2563425478. The cubic root of 334314030 is about 694.0405856778.

Adding to 334314030 its reverse (30413433), we get a palindrome (364727463).

The spelling of 334314030 in words is "three hundred thirty-four million, three hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 199 290 398 435 597 870 995 1194 1931 1990 2985 3862 5771 5793 5970 9655 11542 11586 17313 19310 28855 28965 34626 55999 57710 57930 86565 111998 167997 173130 279995 335994 384269 559990 768538 839985 1152807 1679970 1921345 2305614 3842690 5764035 11143801 11528070 22287602 33431403 55719005 66862806 111438010 167157015 334314030