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1321200342 = 233711615209
BaseRepresentation
bin100111010111111…
…1110101011010110
310102002001221011000
41032233332223112
510201211402332
6335033524130
744512006020
oct11657765326
93362057130
101321200342
11618868410
1230a573646
1318094b867
14c767d010
157aecbb7c
hex4ebfead6

1321200342 has 128 divisors (see below), whose sum is σ = 3721190400. Its totient is φ = 337478400.

The previous prime is 1321200311. The next prime is 1321200379. The reversal of 1321200342 is 2430021231.

1321200342 is a `hidden beast` number, since 1 + 321 + 2 + 0 + 0 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251034 + ... + 256242.

It is an arithmetic number, because the mean of its divisors is an integer number (29071800).

Almost surely, 21321200342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321200342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860595200).

1321200342 is an abundant number, since it is smaller than the sum of its proper divisors (2399990058).

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

1321200342 is a wasteful number, since it uses less digits than its factorization.

1321200342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1321200342 is about 36348.3196585482. The cubic root of 1321200342 is about 1097.2937170048.

Adding to 1321200342 its reverse (2430021231), we get a palindrome (3751221573).

The spelling of 1321200342 in words is "one billion, three hundred twenty-one million, two hundred thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 61 63 66 77 99 122 126 154 183 189 198 231 297 366 378 427 462 549 594 671 693 854 1098 1281 1342 1386 1647 2013 2079 2562 3294 3843 4026 4158 4697 5209 6039 7686 9394 10418 11529 12078 14091 15627 18117 23058 28182 31254 36234 36463 42273 46881 57299 72926 84546 93762 109389 114598 126819 140643 171897 218778 253638 281286 317749 328167 343794 401093 515691 635498 656334 802186 953247 984501 1031382 1203279 1547073 1906494 1969002 2224243 2406558 2859741 3094146 3495239 3609837 4448486 5719482 6672729 6990478 7219674 8579223 10485717 10829511 13345458 17158446 20018187 20971434 21659022 24466673 31457151 40036374 48933346 60054561 62914302 73400019 94371453 120109122 146800038 188742906 220200057 440400114 660600171 1321200342