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11234412 = 22327109409
BaseRepresentation
bin101010110110…
…110001101100
3210010202201100
4222312301230
510334000122
61040443100
7164330250
oct52666154
923122640
1011234412
116383642
123919490
1324346a7
1416c6260
15ebdaac
hexab6c6c

11234412 has 72 divisors (see below), whose sum is σ = 32832800. Its totient is φ = 3172608.

The previous prime is 11234407. The next prime is 11234417. The reversal of 11234412 is 21443211.

It is an interprime number because it is at equal distance from previous prime (11234407) and next prime (11234417).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11234417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27264 + ... + 27672.

Almost surely, 211234412 is an apocalyptic number.

11234412 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 11234412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416400).

11234412 is an abundant number, since it is smaller than the sum of its proper divisors (21598388).

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

11234412 is a wasteful number, since it uses less digits than its factorization.

11234412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 530 counting only the distinct ones).

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

The square root of 11234412 is about 3351.7774389121. Note that the first 3 decimals coincide. The cubic root of 11234412 is about 223.9666989186.

Adding to 11234412 its reverse (21443211), we get a palindrome (32677623).

The spelling of 11234412 in words is "eleven million, two hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 252 327 409 436 654 763 818 981 1227 1308 1526 1636 1962 2289 2454 2863 3052 3681 3924 4578 4908 5726 6867 7362 8589 9156 11452 13734 14724 17178 25767 27468 34356 44581 51534 89162 103068 133743 178324 267486 312067 401229 534972 624134 802458 936201 1248268 1604916 1872402 2808603 3744804 5617206 11234412