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12440304 = 243429331
BaseRepresentation
bin101111011101…
…001011110000
3212102000220000
4233131023300
511141042204
61122350000
7210512052
oct57351360
925360800
1012440304
117027648
1241bb300
132767536
14191b8d2
15115b039
hexbdd2f0

12440304 has 100 divisors (see below), whose sum is σ = 37359960. Its totient is φ = 3991680.

The previous prime is 12440293. The next prime is 12440317. The reversal of 12440304 is 40304421.

It is a super-2 number, since 2×124403042 = 309522327224832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37419 + ... + 37749.

Almost surely, 212440304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18679980).

12440304 is an abundant number, since it is smaller than the sum of its proper divisors (24919656).

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

12440304 is a wasteful number, since it uses less digits than its factorization.

12440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12440304 is about 3527.0815130927. The cubic root of 12440304 is about 231.7094062811.

Adding to 12440304 its reverse (40304421), we get a palindrome (52744725).

The spelling of 12440304 in words is "twelve million, four hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 331 348 432 464 522 648 662 696 783 993 1044 1296 1324 1392 1566 1986 2088 2349 2648 2979 3132 3972 4176 4698 5296 5958 6264 7944 8937 9396 9599 11916 12528 15888 17874 18792 19198 23832 26811 28797 35748 37584 38396 47664 53622 57594 71496 76792 86391 107244 115188 142992 153584 172782 214488 230376 259173 345564 428976 460752 518346 691128 777519 1036692 1382256 1555038 2073384 3110076 4146768 6220152 12440304