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12403314 = 23371119157
BaseRepresentation
bin101111010100…
…001001110010
3212100011011000
4233110021302
511133401224
61121502430
7210266160
oct57241162
925304130
1012403314
117001880
1241a1a16
132753751
14190c230
1511500c9
hexbd4272

12403314 has 128 divisors (see below), whose sum is σ = 36403200. Its totient is φ = 3032640.

The previous prime is 12403309. The next prime is 12403351. The reversal of 12403314 is 41330421.

12403314 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 78924 + ... + 79080.

It is an arithmetic number, because the mean of its divisors is an integer number (284400).

Almost surely, 212403314 is an apocalyptic number.

12403314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12403314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201600).

12403314 is an abundant number, since it is smaller than the sum of its proper divisors (23999886).

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

12403314 is a wasteful number, since it uses less digits than its factorization.

12403314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12403314 is about 3521.8338972757. The cubic root of 12403314 is about 231.4795233690.

Adding to 12403314 its reverse (41330421), we get a palindrome (53733735).

It can be divided in two parts, 1240 and 3314, that added together give a palindrome (4554).

The spelling of 12403314 in words is "twelve million, four hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 99 114 126 133 154 157 171 189 198 209 231 266 297 314 342 378 399 418 462 471 513 594 627 693 798 942 1026 1099 1197 1254 1386 1413 1463 1727 1881 2079 2198 2394 2826 2926 2983 3297 3454 3591 3762 4158 4239 4389 5181 5643 5966 6594 7182 8478 8778 8949 9891 10362 11286 12089 13167 15543 17898 19782 20881 24178 26334 26847 29673 31086 32813 36267 39501 41762 46629 53694 59346 62643 65626 72534 79002 80541 93258 98439 108801 125286 161082 187929 196878 217602 229691 295317 326403 375858 459382 563787 590634 652806 689073 885951 1127574 1378146 1771902 2067219 4134438 6201657 12403314