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12944412 = 223213171627
BaseRepresentation
bin110001011000…
…010000011100
3220100122101200
4301120100130
511303210122
61141235500
7215011545
oct61302034
926318350
1012944412
117341368
124402b90
1328b2b20
141a0d4cc
15120a5ac
hexc5841c

12944412 has 72 divisors (see below), whose sum is σ = 37333296. Its totient is φ = 3746304.

The previous prime is 12944389. The next prime is 12944443. The reversal of 12944412 is 21444921.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7143 + ... + 8769.

It is an arithmetic number, because the mean of its divisors is an integer number (518518).

Almost surely, 212944412 is an apocalyptic number.

12944412 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 12944412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18666648).

12944412 is an abundant number, since it is smaller than the sum of its proper divisors (24388884).

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

12944412 is a wasteful number, since it uses less digits than its factorization.

12944412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1662 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12944412 is about 3597.8343486047. The cubic root of 12944412 is about 234.7978463719.

The spelling of 12944412 in words is "twelve million, nine hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1627 1989 2652 3254 3978 4881 6508 7956 9762 14643 19524 21151 27659 29286 42302 55318 58572 63453 82977 84604 110636 126906 165954 190359 248931 253812 331908 359567 380718 497862 719134 761436 995724 1078701 1438268 2157402 3236103 4314804 6472206 12944412