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12442302 = 2331967181
BaseRepresentation
bin101111011101…
…101010111110
3212102010122000
4233131222332
511141123202
61122403130
7210520635
oct57355276
925363560
1012442302
1170290a4
1242004a6
132768412
14191c51c
15115b91c
hexbddabe

12442302 has 64 divisors (see below), whose sum is σ = 29702400. Its totient is φ = 3849120.

The previous prime is 12442301. The next prime is 12442319. The reversal of 12442302 is 20324421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68652 + ... + 68832.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 212442302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851200).

12442302 is an abundant number, since it is smaller than the sum of its proper divisors (17260098).

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

12442302 is a wasteful number, since it uses less digits than its factorization.

12442302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

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

The square root of 12442302 is about 3527.3647387249. The cubic root of 12442302 is about 231.7218103352.

Adding to 12442302 its reverse (20324421), we get a palindrome (32766723).

The spelling of 12442302 in words is "twelve million, four hundred forty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 67 114 134 171 181 201 342 362 402 513 543 603 1026 1086 1206 1273 1629 1809 2546 3258 3439 3618 3819 4887 6878 7638 9774 10317 11457 12127 20634 22914 24254 30951 34371 36381 61902 68742 72762 92853 109143 185706 218286 230413 327429 460826 654858 691239 1382478 2073717 4147434 6221151 12442302