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340010300443224 = 233195319173657673
BaseRepresentation
bin100110101001111001101000…
…1001011011000101001011000
31122120212200000102222022220210
41031103303101023120221120
5324031212043403140344
63203050324202451120
7131421635132052405
oct11523632113305130
91576780012868823
10340010300443224
1199379616605a94
1232174335803aa0
1311794aab9b14a8
145dd682cd212ac
1529496ac9d3db9
hex1353cd12d8a58

340010300443224 has 128 divisors (see below), whose sum is σ = 916419316838400. Its totient is φ = 104794243107840.

The previous prime is 340010300443127. The next prime is 340010300443237. The reversal of 340010300443224 is 422344003010043.

It is a happy number.

It is a super-2 number, since 2×3400103004432242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340010300443191 and 340010300443200.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 32212749 + ... + 41444924.

It is an arithmetic number, because the mean of its divisors is an integer number (7159525912800).

Almost surely, 2340010300443224 is an apocalyptic number.

It is an amenable number.

340010300443224 is an abundant number, since it is smaller than the sum of its proper divisors (576409016395176).

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

340010300443224 is a wasteful number, since it uses less digits than its factorization.

340010300443224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73657945 (or 73657941 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 340010300443224 its reverse (422344003010043), we get a palindrome (762354303453267).

The spelling of 340010300443224 in words is "three hundred forty trillion, ten billion, three hundred million, four hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 191 212 228 318 382 424 456 573 636 764 1007 1146 1272 1528 2014 2292 3021 3629 4028 4584 6042 7258 8056 10123 10887 12084 14516 20246 21774 24168 29032 30369 40492 43548 60738 80984 87096 121476 192337 242952 384674 577011 769348 1154022 1538696 2308044 4616088 73657673 147315346 220973019 294630692 441946038 589261384 883892076 1399495787 1767784152 2798991574 3903856669 4198487361 5597983148 7807713338 8396974722 11195966296 11711570007 14068615543 15615426676 16793949444 23423140014 28137231086 31230853352 33587898888 42205846629 46846280028 56274462172 74173276711 84411693258 93692560056 112548924344 148346553422 168823386516 222519830133 267303695317 296693106844 337646773032 445039660266 534607390634 593386213688 745636623779 801911085951 890079320532 1069214781268 1491273247558 1603822171902 1780158641064 2138429562536 2236909871337 2982546495116 3207644343804 4473819742674 5965092990232 6415288687608 8947639485348 14167095851801 17895278970696 28334191703602 42501287555403 56668383407204 85002575110806 113336766814408 170005150221612 340010300443224