Search a number
-
+
334552340100 = 2235211195335763
BaseRepresentation
bin1001101111001001101…
…11111001011010000100
31011222112112020202202010
410313210313321122010
520440130344340400
6413405145414220
733112342653636
oct4674467713204
91158475222663
10334552340100
1111997908a880
1254a08a9a370
1325718394a74
1412299ddca56
158a80cb4450
hex4de4df9684

334552340100 has 144 divisors (see below), whose sum is σ = 1111546356480. Its totient is φ = 76834972800.

The previous prime is 334552340077. The next prime is 334552340147. The reversal of 334552340100 is 1043255433.

It is a super-2 number, since 2×3345523401002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2605182 + ... + 2730581.

It is an arithmetic number, because the mean of its divisors is an integer number (7719071920).

Almost surely, 2334552340100 is an apocalyptic number.

334552340100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334552340100 is an abundant number, since it is smaller than the sum of its proper divisors (776994016380).

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

334552340100 is a wasteful number, since it uses less digits than its factorization.

334552340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335810 (or 5335803 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 334552340100 its reverse (1043255433), we get a palindrome (335595595533).

The spelling of 334552340100 in words is "three hundred thirty-four billion, five hundred fifty-two million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 5335763 10671526 16007289 21343052 26678815 32014578 53357630 58693393 64029156 80036445 101379497 106715260 117386786 133394075 160072890 176080179 202758994 234773572 266788150 293466965 304138491 320145780 352160358 400182225 405517988 506897485 533576300 586933930 608276982 704320716 800364450 880400895 1013794970 1115174467 1173867860 1216553964 1467334825 1520692455 1600728900 1760801790 2027589940 2230348934 2534487425 2934669650 3041384910 3345523401 3521603580 4402004475 4460697868 5068974850 5575872335 5869339300 6082769820 6691046802 7603462275 8804008950 10137949700 11151744670 13382093604 15206924550 16727617005 17608017900 22303489340 27879361675 30413849100 33455234010 55758723350 66910468020 83638085025 111517446700 167276170050 334552340100