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1340005212 = 22327131724061
BaseRepresentation
bin100111111011110…
…1101101101011100
310110101110022120200
41033313231231130
510221020131322
6340544543500
745130566510
oct11767555534
93411408520
101340005212
11628441827
12314921b90
13184803cc0
14c9d76140
157c9938ac
hex4fdedb5c

1340005212 has 144 divisors (see below), whose sum is σ = 4414318272. Its totient is φ = 332605440.

The previous prime is 1340005207. The next prime is 1340005213. The reversal of 1340005212 is 2125000431.

It is a super-2 number, since 2×13400052122 = 3591227936374329888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340005213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43662 + ... + 67722.

It is an arithmetic number, because the mean of its divisors is an integer number (30654988).

Almost surely, 21340005212 is an apocalyptic number.

1340005212 is a gapful number since it is divisible by the number (12) 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 1340005212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207159136).

1340005212 is an abundant number, since it is smaller than the sum of its proper divisors (3074313060).

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

1340005212 is a wasteful number, since it uses less digits than its factorization.

1340005212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24108 (or 24103 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1340005212 is about 36606.0816258720. The cubic root of 1340005212 is about 1102.4752008243.

Adding to 1340005212 its reverse (2125000431), we get a palindrome (3465005643).

The spelling of 1340005212 in words is "one billion, three hundred forty million, five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 1071 1092 1326 1428 1547 1638 1989 2142 2652 3094 3276 3978 4284 4641 6188 7956 9282 13923 18564 24061 27846 48122 55692 72183 96244 144366 168427 216549 288732 312793 336854 409037 433098 505281 625586 673708 818074 866196 938379 1010562 1227111 1251172 1515843 1636148 1876758 2021124 2189551 2454222 2815137 2863259 3031686 3681333 3753516 4379102 4908444 5317481 5630274 5726518 6063372 6568653 7362666 8589777 8758204 10634962 11260548 11453036 13137306 14725332 15952443 17179554 19705959 21269924 25769331 26274612 31904886 34359108 37222367 39411918 47857329 51538662 63809772 74444734 78823836 95714658 103077324 111667101 148889468 191429316 223334202 335001303 446668404 670002606 1340005212