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11340224340 = 22351714817507
BaseRepresentation
bin10101000111110111…
…00001011101010100
31002021022122002021220
422203323201131110
5141211044134330
65113140210340
7551010213354
oct124373413524
932238562256
1011340224340
11489a296435
1222459999b0
1310b956a123
14798154b64
15465896710
hex2a3ee1754

11340224340 has 96 divisors (see below), whose sum is σ = 33647612544. Its totient is φ = 2843873280.

The previous prime is 11340224333. The next prime is 11340224369. The reversal of 11340224340 is 4342204311.

It is a self number, because there is not a number n which added to its sum of digits gives 11340224340.

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, 1506867 + ... + 1514373.

It is an arithmetic number, because the mean of its divisors is an integer number (350495964).

Almost surely, 211340224340 is an apocalyptic number.

11340224340 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 11340224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823806272).

11340224340 is an abundant number, since it is smaller than the sum of its proper divisors (22307388204).

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

11340224340 is a wasteful number, since it uses less digits than its factorization.

11340224340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9017 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11340224340 its reverse (4342204311), we get a palindrome (15682428651).

The spelling of 11340224340 in words is "eleven billion, three hundred forty million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1481 2962 4443 5924 7405 7507 8886 14810 15014 17772 22215 22521 25177 29620 30028 37535 44430 45042 50354 75070 75531 88860 90084 100708 112605 125885 127619 150140 151062 225210 251770 255238 302124 377655 382857 450420 503540 510476 638095 755310 765714 1276190 1510620 1531428 1914285 2552380 3828570 7657140 11117867 22235734 33353601 44471468 55589335 66707202 111178670 133414404 166768005 189003739 222357340 333536010 378007478 567011217 667072020 756014956 945018695 1134022434 1890037390 2268044868 2835056085 3780074780 5670112170 11340224340