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11234004340 = 225132910913669
BaseRepresentation
bin10100111011001100…
…10100110101110100
31001222220202112211211
422131212110311310
5141001401114330
65054423411204
7545250314146
oct123546246564
931886675754
1011234004340
114845336809
1222162b3b04
1310a0559460
14787dc4c96
1545b3b3d2a
hex29d994d74

11234004340 has 96 divisors (see below), whose sum is σ = 26525268000. Its totient is φ = 3967875072.

The previous prime is 11234004319. The next prime is 11234004361. The reversal of 11234004340 is 4340043211.

It is an interprime number because it is at equal distance from previous prime (11234004319) and next prime (11234004361).

It can be written as a sum of positive squares in 16 ways, for example, as 1804040676 + 9429963664 = 42474^2 + 97108^2 .

It is a super-2 number, since 2×112340043402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815026 + ... + 828694.

It is an arithmetic number, because the mean of its divisors is an integer number (276304875).

Almost surely, 211234004340 is an apocalyptic number.

11234004340 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 11234004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262634000).

11234004340 is an abundant number, since it is smaller than the sum of its proper divisors (15291263660).

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

11234004340 is a wasteful number, since it uses less digits than its factorization.

11234004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13829 (or 13827 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11234004340 its reverse (4340043211), we get a palindrome (15574047551).

The spelling of 11234004340 in words is "eleven billion, two hundred thirty-four million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 109 116 130 145 218 260 290 377 436 545 580 754 1090 1417 1508 1885 2180 2834 3161 3770 5668 6322 7085 7540 12644 13669 14170 15805 27338 28340 31610 41093 54676 63220 68345 82186 136690 164372 177697 205465 273380 355394 396401 410930 710788 792802 821860 888485 1489921 1585604 1776970 1982005 2979842 3553940 3964010 5153213 5959684 7449605 7928020 10306426 14899210 19368973 20612852 25766065 29798420 38737946 43207709 51532130 77475892 86415418 96844865 103064260 172830836 193689730 216038545 387379460 432077090 561700217 864154180 1123400434 2246800868 2808501085 5617002170 11234004340