Search a number
-
+
11340243400 = 235273776729
BaseRepresentation
bin10101000111110111…
…00110000111001000
31002021022200001102211
422203323212013020
5141211100242100
65113140434504
7551010323053
oct124373460710
932238601384
1011340243400
11489a2a9792
1222459a8a34
1310b95759c5
1479815ba9a
1546589c1ba
hex2a3ee61c8

11340243400 has 48 divisors (see below), whose sum is σ = 26727279300. Its totient is φ = 4473953280.

The previous prime is 11340243389. The next prime is 11340243419. The reversal of 11340243400 is 434204311.

11340243400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4649330596 + 6690912804 = 68186^2 + 81798^2 .

It is a super-2 number, since 2×113402434002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 373765 + ... + 402964.

Almost surely, 211340243400 is an apocalyptic number.

11340243400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11340243400 is an abundant number, since it is smaller than the sum of its proper divisors (15387035900).

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

11340243400 is a wasteful number, since it uses less digits than its factorization.

11340243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776818 (or 776809 counting only the distinct ones).

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

Adding to 11340243400 its reverse (434204311), we get a palindrome (11774447711).

The spelling of 11340243400 in words is "eleven billion, three hundred forty million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 776729 1553458 3106916 3883645 6213832 7767290 15534580 19418225 31069160 38836450 56701217 77672900 113402434 155345800 226804868 283506085 453609736 567012170 1134024340 1417530425 2268048680 2835060850 5670121700 11340243400