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342441434340 = 2232514912768137
BaseRepresentation
bin1001111101110110001…
…10011001110011100100
31012201220022222021112200
410332323012121303210
521102310001344330
6421152044214500
733512006110455
oct4767306316344
91181808867480
10342441434340
11122257298075
125644ab3a430
13263a4946475
1412807a7712c
158d936a3a60
hex4fbb199ce4

342441434340 has 72 divisors (see below), whose sum is σ = 1045710502200. Its totient is φ = 90704838144.

The previous prime is 342441434333. The next prime is 342441434393. The reversal of 342441434340 is 43434144243.

342441434340 is a `hidden beast` number, since 3 + 42 + 44 + 143 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27646377984 + 314795056356 = 166272^2 + 561066^2 .

It is a super-2 number, since 2×3424414343402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342441434295 and 342441434304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6357249 + ... + 6410888.

It is an arithmetic number, because the mean of its divisors is an integer number (14523756975).

Almost surely, 2342441434340 is an apocalyptic number.

342441434340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342441434340 is an abundant number, since it is smaller than the sum of its proper divisors (703269067860).

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

342441434340 is a wasteful number, since it uses less digits than its factorization.

342441434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12768301 (or 12768296 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 342441434340 its reverse (43434144243), we get a palindrome (385875578583).

The spelling of 342441434340 in words is "three hundred forty-two billion, four hundred forty-one million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2682 2980 4470 5364 6705 8940 13410 26820 12768137 25536274 38304411 51072548 63840685 76608822 114913233 127681370 153217644 191522055 229826466 255362740 383044110 459652932 574566165 766088220 1149132330 1902452413 2298264660 3804904826 5707357239 7609809652 9512262065 11414714478 17122071717 19024524130 22829428956 28536786195 34244143434 38049048260 57073572390 68488286868 85610358585 114147144780 171220717170 342441434340