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1323434012340 = 2235113721464721
BaseRepresentation
bin10011010000100010110…
…100000110111010110100
311200112000101120121211010
4103100202310012322310
5133140343101343330
62451551023512220
7164420633332146
oct23204264067264
94615011517733
101323434012340
114702a0aa8540
121945a7458670
1397a5107622b
14480a9972c96
152465b3b63b0
hex13422d06eb4

1323434012340 has 144 divisors (see below), whose sum is σ = 4154701529664. Its totient is φ = 312161126400.

The previous prime is 1323434012323. The next prime is 1323434012363. The reversal of 1323434012340 is 432104343231.

It is a happy number.

It is a super-3 number, since 3×13234340123403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1323434012298 and 1323434012307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171180 + ... + 1635900.

It is an arithmetic number, because the mean of its divisors is an integer number (28852093956).

Almost surely, 21323434012340 is an apocalyptic number.

1323434012340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323434012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077350764832).

1323434012340 is an abundant number, since it is smaller than the sum of its proper divisors (2831267517324).

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

1323434012340 is a wasteful number, since it uses less digits than its factorization.

1323434012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464818 (or 1464779 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1323434012340 its reverse (432104343231), we get a palindrome (1755538355571).

The spelling of 1323434012340 in words is "one trillion, three hundred twenty-three billion, four hundred thirty-four million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1369 1628 2035 2220 2442 2738 4070 4107 4884 5476 6105 6845 8140 8214 12210 13690 15059 16428 20535 24420 27380 30118 41070 45177 60236 75295 82140 90354 150590 180708 225885 301180 451770 903540 1464721 2929442 4394163 5858884 7323605 8788326 14647210 16111931 17576652 21970815 29294420 32223862 43941630 48335793 54194677 64447724 80559655 87883260 96671586 108389354 161119310 162584031 193343172 216778708 241678965 270973385 322238620 325168062 483357930 541946770 596141447 650336124 812920155 966715860 1083893540 1192282894 1625840310 1788424341 2005203049 2384565788 2980707235 3251680620 3576848682 4010406098 5961414470 6015609147 7153697364 8020812196 8942121705 10026015245 11922828940 12031218294 17884243410 20052030490 22057233539 24062436588 30078045735 35768486820 40104060980 44114467078 60156091470 66171700617 88228934156 110286167695 120312182940 132343401234 220572335390 264686802468 330858503085 441144670780 661717006170 1323434012340