Search a number
-
+
303411114340 = 225235916766943
BaseRepresentation
bin1000110101001001011…
…01100011000101100100
31002000011020112120221021
410122210231203011210
514432341221124330
6351215105100524
730630544630165
oct4324455430544
91060136476837
10303411114340
11107748733a64
124a977927744
13227c4746569
14109841a376c
157d5bdae67a
hex46a4b63164

303411114340 has 96 divisors (see below), whose sum is σ = 680193884160. Its totient is φ = 113435093376.

The previous prime is 303411114233. The next prime is 303411114373. The reversal of 303411114340 is 43411114303.

It is a happy number.

It is an unprimeable number.

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, 4498909 + ... + 4565851.

It is an arithmetic number, because the mean of its divisors is an integer number (7085352960).

Almost surely, 2303411114340 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 303411114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340096942080).

303411114340 is an abundant number, since it is smaller than the sum of its proper divisors (376782769820).

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

303411114340 is a wasteful number, since it uses less digits than its factorization.

303411114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67201 (or 67199 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 303411114340 its reverse (43411114303), we get a palindrome (346822228643).

The spelling of 303411114340 in words is "three hundred three billion, four hundred eleven million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 167 230 236 295 334 460 590 668 835 1180 1357 1670 2714 3340 3841 5428 6785 7682 9853 13570 15364 19205 19706 27140 38410 39412 49265 66943 76820 98530 133886 197060 226619 267772 334715 453238 669430 906476 1133095 1338860 1539689 2266190 3079378 3949637 4532380 6158756 7698445 7899274 11179481 15396890 15798548 19748185 22358962 30793780 39496370 44717924 55897405 78992740 90841651 111794810 181683302 223589620 257128063 363366604 454208255 514256126 659589379 908416510 1028512252 1285640315 1319178758 1816833020 2571280630 2638357516 3297946895 5142561260 6595893790 13191787580 15170555717 30341111434 60682222868 75852778585 151705557170 303411114340