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12234672 = 2433127223
BaseRepresentation
bin101110101010…
…111110110000
3212000120211000
4232222332300
511113002142
61114122000
7205664412
oct56527660
925016730
1012234672
1169a70aa
124120300
1326c4a68
1418a69b2
15111a14c
hexbaafb0

12234672 has 80 divisors (see below), whose sum is σ = 35553280. Its totient is φ = 4027968.

The previous prime is 12234671. The next prime is 12234697. The reversal of 12234672 is 27643221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12234671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54753 + ... + 54975.

It is an arithmetic number, because the mean of its divisors is an integer number (444416).

Almost surely, 212234672 is an apocalyptic number.

12234672 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 12234672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776640).

12234672 is an abundant number, since it is smaller than the sum of its proper divisors (23318608).

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

12234672 is a wasteful number, since it uses less digits than its factorization.

12234672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 12234672 is about 3497.8096003070. The cubic root of 12234672 is about 230.4256264898.

Adding to 12234672 its reverse (27643221), we get a palindrome (39877893).

The spelling of 12234672 in words is "twelve million, two hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 223 254 381 432 446 508 669 762 892 1016 1143 1338 1524 1784 2007 2032 2286 2676 3048 3429 3568 4014 4572 5352 6021 6096 6858 8028 9144 10704 12042 13716 16056 18288 24084 27432 28321 32112 48168 54864 56642 84963 96336 113284 169926 226568 254889 339852 453136 509778 679704 764667 1019556 1359408 1529334 2039112 3058668 4078224 6117336 12234672