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1140340212 = 22321117233727
BaseRepresentation
bin100001111111000…
…0011010111110100
32221110202021200200
41003332003113310
54313411341322
6305053240500
740154506014
oct10376032764
92843667620
101140340212
11535768530
12279a93130
1315233632b
14ab63dc44
156a1a38ac
hex43f835f4

1140340212 has 144 divisors (see below), whose sum is σ = 3348438912. Its totient is φ = 323389440.

The previous prime is 1140340211. The next prime is 1140340219. The reversal of 1140340212 is 2120430411.

1140340212 is a `hidden beast` number, since 11 + 403 + 40 + 212 = 666.

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 (1140340211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568193 + ... + 1568919.

It is an arithmetic number, because the mean of its divisors is an integer number (23253048).

Almost surely, 21140340212 is an apocalyptic number.

1140340212 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 1140340212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674219456).

1140340212 is an abundant number, since it is smaller than the sum of its proper divisors (2208098700).

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

1140340212 is a wasteful number, since it uses less digits than its factorization.

1140340212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1140340212 is about 33768.9237613519. The cubic root of 1140340212 is about 1044.7478347320.

Adding to 1140340212 its reverse (2120430411), we get a palindrome (3260770623).

It can be divided in two parts, 11403 and 40212, that added together give a palindrome (51615).

The spelling of 1140340212 in words is "one billion, one hundred forty million, three hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 233 306 374 396 466 561 612 699 727 748 932 1122 1398 1454 1683 2097 2181 2244 2563 2796 2908 3366 3961 4194 4362 5126 6543 6732 7689 7922 7997 8388 8724 10252 11883 12359 13086 15378 15844 15994 23067 23766 23991 24718 26172 30756 31988 35649 37077 43571 46134 47532 47982 49436 71298 71973 74154 87142 92268 95964 111231 130713 135949 142596 143946 148308 169391 174284 222462 261426 271898 287892 338782 392139 407847 444924 508173 522852 543796 677564 784278 815694 1016346 1223541 1524519 1568556 1631388 1863301 2032692 2447082 2879647 3049038 3726602 4894164 5589903 5759294 6098076 7453204 8638941 11179806 11518588 16769709 17277882 22359612 25916823 31676117 33539418 34555764 51833646 63352234 67078836 95028351 103667292 126704468 190056702 285085053 380113404 570170106 1140340212