Search a number
-
+
340566766100 = 2252112313461137
BaseRepresentation
bin1001111010010110101…
…11000111001000010100
31012120001200110021011122
410331023113013020110
521034440043003400
6420242035423112
733414363514421
oct4751327071024
91176050407148
10340566766100
11121485074080
1256007154a98
1326166441b12
14126aaac4d48
158cd3ceb685
hex4f4b5c7214

340566766100 has 72 divisors (see below), whose sum is σ = 841267280448. Its totient is φ = 118457996800.

The previous prime is 340566766091. The next prime is 340566766153. The reversal of 340566766100 is 1667665043.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6705269 + ... + 6755868.

It is an arithmetic number, because the mean of its divisors is an integer number (11684267784).

Almost surely, 2340566766100 is an apocalyptic number.

It is an amenable number.

340566766100 is an abundant number, since it is smaller than the sum of its proper divisors (500700514348).

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

340566766100 is a wasteful number, since it uses less digits than its factorization.

340566766100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13461185 (or 13461178 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 340566766100 in words is "three hundred forty billion, five hundred sixty-six million, seven hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 13461137 26922274 53844548 67305685 134611370 148072507 269222740 296145014 309606151 336528425 592290028 619212302 673056850 740362535 1238424604 1346113700 1480725070 1548030755 2961450140 3096061510 3405667661 3701812675 6192123020 6811335322 7403625350 7740153775 13622670644 14807250700 15480307550 17028338305 30960615100 34056676610 68113353220 85141691525 170283383050 340566766100