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12944232 = 2333721223
BaseRepresentation
bin110001011000…
…001101101000
3220100122011000
4301120031220
511303203412
61141235000
7215011200
oct61301550
926318130
1012944232
117341214
124402a60
1328b2a12
141a0d400
15120a4dc
hexc58368

12944232 has 96 divisors (see below), whose sum is σ = 41860800. Its totient is φ = 3695328.

The previous prime is 12944231. The next prime is 12944257. The reversal of 12944232 is 23244921.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 12944196 and 12944205.

It is not an unprimeable number, because it can be changed into a prime (12944231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9973 + ... + 11195.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 212944232 is an apocalyptic number.

12944232 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 12944232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930400).

12944232 is an abundant number, since it is smaller than the sum of its proper divisors (28916568).

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

12944232 is a wasteful number, since it uses less digits than its factorization.

12944232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1235 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 12944232 is about 3597.8093334695. The cubic root of 12944232 is about 234.7967580308.

The spelling of 12944232 in words is "twelve million, nine hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1223 1323 1512 1764 2446 2646 3528 3669 4892 5292 7338 8561 9784 10584 11007 14676 17122 22014 25683 29352 33021 34244 44028 51366 59927 66042 68488 77049 88056 102732 119854 132084 154098 179781 205464 231147 239708 264168 308196 359562 462294 479416 539343 616392 719124 924588 1078686 1438248 1618029 1849176 2157372 3236058 4314744 6472116 12944232