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12430404 = 22327107461
BaseRepresentation
bin101111011010…
…110001000100
3212101112022100
4233122301010
511140233104
61122232100
7210441150
oct57326104
925345270
1012430404
117020168
1241b5630
132762b8c
141918060
151158139
hexbdac44

12430404 has 72 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 3510720.

The previous prime is 12430403. The next prime is 12430423. The reversal of 12430404 is 40403421.

12430404 is digitally balanced in base 2, base 4 and base 8, 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).

12430404 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12430403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26734 + ... + 27194.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 212430404 is an apocalyptic number.

12430404 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 12430404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

12430404 is an abundant number, since it is smaller than the sum of its proper divisors (23893884).

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

12430404 is a wasteful number, since it uses less digits than its factorization.

12430404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

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

The square root of 12430404 is about 3525.6778071741. The cubic root of 12430404 is about 231.6479251497.

Adding to 12430404 its reverse (40403421), we get a palindrome (52833825).

The spelling of 12430404 in words is "twelve million, four hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 461 642 749 922 963 1284 1383 1498 1844 1926 2247 2766 2996 3227 3852 4149 4494 5532 6454 6741 8298 8988 9681 12908 13482 16596 19362 26964 29043 38724 49327 58086 98654 116172 147981 197308 295962 345289 443943 591924 690578 887886 1035867 1381156 1775772 2071734 3107601 4143468 6215202 12430404