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11234000 = 245341137
BaseRepresentation
bin101010110110…
…101011010000
3210010202011002
4222312223100
510333442000
61040441132
7164326121
oct52665320
923122132
1011234000
1163832a8
1239191a8
13243444b
1416c6048
15ebd8d5
hexab6ad0

11234000 has 80 divisors (see below), whose sum is σ = 28029456. Its totient is φ = 4352000.

The previous prime is 11233993. The next prime is 11234011. The reversal of 11234000 is 43211.

It is a happy number.

11234000 is nontrivially palindromic in base 9.

11234000 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 8 ways, for example, as 6270016 + 4963984 = 2504^2 + 2228^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81932 + ... + 82068.

Almost surely, 211234000 is an apocalyptic number.

11234000 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 11234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014728).

11234000 is an abundant number, since it is smaller than the sum of its proper divisors (16795456).

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

11234000 is a wasteful number, since it uses less digits than its factorization.

11234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 11234000 is about 3351.7159784206. The cubic root of 11234000 is about 223.9639610388.

Adding to 11234000 its reverse (43211), we get a palindrome (11277211).

The spelling of 11234000 in words is "eleven million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 137 164 200 205 250 274 328 400 410 500 548 656 685 820 1000 1025 1096 1370 1640 2000 2050 2192 2740 3280 3425 4100 5125 5480 5617 6850 8200 10250 10960 11234 13700 16400 17125 20500 22468 27400 28085 34250 41000 44936 54800 56170 68500 82000 89872 112340 137000 140425 224680 274000 280850 449360 561700 702125 1123400 1404250 2246800 2808500 5617000 11234000