Search a number
-
+
34011202343300 = 22527133737494763
BaseRepresentation
bin1111011101110110110011…
…01000100101000110000100
311110102102212011120110110222
413232323121220211012010
513424214420244441200
6200200310342203512
710110141204632330
oct756733150450604
9143372764513428
1034011202343300
11a923085063a86
123993722a23598
1315c932005a090
148582183cc7c0
153dea99491d85
hex1eeed9a25184

34011202343300 has 72 divisors (see below), whose sum is σ = 90836072744256. Its totient is φ = 10763984914560.

The previous prime is 34011202343227. The next prime is 34011202343317. The reversal of 34011202343300 is 334320211043.

It is a super-2 number, since 2×340112023433002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 34011202343300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1868738282 + ... + 1868756481.

It is an arithmetic number, because the mean of its divisors is an integer number (1261612121448).

Almost surely, 234011202343300 is an apocalyptic number.

It is an amenable number.

34011202343300 is an abundant number, since it is smaller than the sum of its proper divisors (56824870400956).

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

34011202343300 is a wasteful number, since it uses less digits than its factorization.

34011202343300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737494797 (or 3737494790 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 34011202343300 its reverse (334320211043), we get a palindrome (34345522554343).

The spelling of 34011202343300 in words is "thirty-four trillion, eleven billion, two hundred two million, three hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 3737494763 7474989526 14949979052 18687473815 26162463341 37374947630 48587431919 52324926682 74749895260 93437369075 97174863838 104649853364 130812316705 186874738150 194349727676 242937159595 261624633410 340112023433 373749476300 485874319190 523249266820 654061583525 680224046866 971748638380 1214685797975 1308123167050 1360448093732 1700560117165 2429371595950 2616246334100 3401120234330 4858743191900 6802240468660 8502800585825 17005601171650 34011202343300