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12418434 = 234747233
BaseRepresentation
bin101111010111…
…110110000010
3212100220220000
4233113312002
511134342214
61122100430
7210361230
oct57276602
925326800
1012418434
117012176
1241aa716
13275a5b2
141913950
151154809
hexbd7d82

12418434 has 80 divisors (see below), whose sum is σ = 32617728. Its totient is φ = 3457728.

The previous prime is 12418433. The next prime is 12418451. The reversal of 12418434 is 43481421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12418398 and 12418407.

It is not an unprimeable number, because it can be changed into a prime (12418433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53182 + ... + 53414.

Almost surely, 212418434 is an apocalyptic number.

12418434 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 12418434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308864).

12418434 is an abundant number, since it is smaller than the sum of its proper divisors (20199294).

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

12418434 is a wasteful number, since it uses less digits than its factorization.

12418434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12418434 is about 3523.9798523828. The cubic root of 12418434 is about 231.5735452615.

Adding to 12418434 its reverse (43481421), we get a palindrome (55899855).

The spelling of 12418434 in words is "twelve million, four hundred eighteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 81 94 126 141 162 189 233 282 329 378 423 466 567 658 699 846 987 1134 1269 1398 1631 1974 2097 2538 2961 3262 3807 4194 4893 5922 6291 7614 8883 9786 10951 12582 14679 17766 18873 21902 26649 29358 32853 37746 44037 53298 65706 76657 88074 98559 132111 153314 197118 229971 264222 295677 459942 591354 689913 887031 1379826 1774062 2069739 4139478 6209217 12418434