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12345424 = 2471361139
BaseRepresentation
bin101111000110…
…000001010000
3212020012201221
4233012001100
511130023144
61120334424
7206635330
oct57060120
925205657
1012345424
116a72333
124174414
1327332b0
1418d50c0
15113cd84
hexbc6050

12345424 has 80 divisors (see below), whose sum is σ = 30136960. Its totient is φ = 4769280.

The previous prime is 12345419. The next prime is 12345427. The reversal of 12345424 is 42454321.

12345424 = T272 + T273 + ... + T454.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345427) 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, 88747 + ... + 88885.

It is an arithmetic number, because the mean of its divisors is an integer number (376712).

Almost surely, 212345424 is an apocalyptic number.

12345424 is a gapful number since it is divisible by the number (14) 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 12345424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068480).

12345424 is an abundant number, since it is smaller than the sum of its proper divisors (17791536).

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

12345424 is a wasteful number, since it uses less digits than its factorization.

12345424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 12345424 is about 3513.6055555512. The cubic root of 12345424 is about 231.1188334314.

Adding to 12345424 its reverse (42454321), we get a palindrome (54799745).

It can be divided in two parts, 12345 and 424, that added together give a square (12769 = 1132).

The spelling of 12345424 in words is "twelve million, three hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 61 91 104 112 122 139 182 208 244 278 364 427 488 556 728 793 854 973 976 1112 1456 1586 1708 1807 1946 2224 3172 3416 3614 3892 5551 6344 6832 7228 7784 8479 11102 12649 12688 14456 15568 16958 22204 25298 28912 33916 44408 50596 59353 67832 88816 101192 110227 118706 135664 202384 220454 237412 440908 474824 771589 881816 949648 1543178 1763632 3086356 6172712 12345424