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12234040 = 2357133361
BaseRepresentation
bin101110101010…
…110100111000
3212000112221121
4232222310320
511112442130
61114115024
7205662520
oct56526470
925015847
1012234040
1169a6685
12411ba74
1326c46a0
1418a6680
151119d7a
hexbaad38

12234040 has 64 divisors (see below), whose sum is σ = 33888960. Its totient is φ = 3870720.

The previous prime is 12234023. The next prime is 12234049. The reversal of 12234040 is 4043221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234049) 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 15 ways as a sum of consecutive naturals, for example, 1960 + ... + 5320.

It is an arithmetic number, because the mean of its divisors is an integer number (529515).

Almost surely, 212234040 is an apocalyptic number.

12234040 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 12234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16944480).

12234040 is an abundant number, since it is smaller than the sum of its proper divisors (21654920).

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

12234040 is a wasteful number, since it uses less digits than its factorization.

12234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12234040 is about 3497.7192568873. The cubic root of 12234040 is about 230.4216587632.

Adding to 12234040 its reverse (4043221), we get a palindrome (16277261).

The spelling of 12234040 in words is "twelve million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3361 3640 6722 13444 16805 23527 26888 33610 43693 47054 67220 87386 94108 117635 134440 174772 188216 218465 235270 305851 349544 436930 470540 611702 873860 941080 1223404 1529255 1747720 2446808 3058510 6117020 12234040