Search a number
-
+
334144260 = 2232519412383
BaseRepresentation
bin10011111010101…
…010001100000100
3212021202021202100
4103322222030010
51141020104020
653053512100
711165115342
oct2372521404
9767667670
10334144260
1116168558a
1293aa2630
13542c41c8
1432540992
151e505a90
hex13eaa304

334144260 has 144 divisors (see below), whose sum is σ = 1093397760. Its totient is φ = 82321920.

The previous prime is 334144243. The next prime is 334144273. The reversal of 334144260 is 62441433.

It is a super-2 number, since 2×3341442602 = 223304772981895200, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 139029 + ... + 141411.

It is an arithmetic number, because the mean of its divisors is an integer number (7593040).

Almost surely, 2334144260 is an apocalyptic number.

334144260 is a gapful number since it is divisible by the number (30) 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 334144260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546698880).

334144260 is an abundant number, since it is smaller than the sum of its proper divisors (759253500).

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

334144260 is a wasteful number, since it uses less digits than its factorization.

334144260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2453 counting only the distinct ones).

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

The square root of 334144260 is about 18279.6132344205. The cubic root of 334144260 is about 693.9230841571.

Adding to 334144260 its reverse (62441433), we get a palindrome (396585693).

The spelling of 334144260 in words is "three hundred thirty-four million, one hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 82 90 95 114 123 164 171 180 190 205 228 246 285 342 369 380 410 492 570 615 684 738 779 820 855 1140 1230 1476 1558 1710 1845 2337 2383 2460 3116 3420 3690 3895 4674 4766 7011 7149 7380 7790 9348 9532 11685 11915 14022 14298 15580 21447 23370 23830 28044 28596 35055 35745 42894 45277 46740 47660 70110 71490 85788 90554 97703 107235 135831 140220 142980 181108 195406 214470 226385 271662 293109 390812 407493 428940 452770 488515 543324 586218 679155 814986 879327 905540 977030 1172436 1358310 1465545 1629972 1758654 1856357 1954060 2037465 2716620 2931090 3517308 3712714 4074930 4396635 5569071 5862180 7425428 8149860 8793270 9281785 11138142 16707213 17586540 18563570 22276284 27845355 33414426 37127140 55690710 66828852 83536065 111381420 167072130 334144260