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9414468 = 223472593
BaseRepresentation
bin100011111010…
…011101000100
3122201022020000
4203322131010
54402230333
6533441300
7143010300
oct43723504
918638200
109414468
115350258
1231a0230
131c481bb
141370d00
15c5e713
hex8fa744

9414468 has 90 divisors (see below), whose sum is σ = 28677726. Its totient is φ = 2685312.

The previous prime is 9414451. The next prime is 9414469. The reversal of 9414468 is 8644149.

It is a happy number.

9414468 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 can be written as a sum of positive squares in only one way, i.e., 8398404 + 1016064 = 2898^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9414469) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15580 + ... + 16172.

Almost surely, 29414468 is an apocalyptic number.

9414468 is a gapful number since it is divisible by the number (98) 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 9414468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14338863).

9414468 is an abundant number, since it is smaller than the sum of its proper divisors (19263258).

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

9414468 is a wasteful number, since it uses less digits than its factorization.

9414468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 9414468 is about 3068.3005067953. The cubic root of 9414468 is about 211.1536507278.

The spelling of 9414468 in words is "nine million, four hundred fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 593 756 882 1134 1186 1323 1764 1779 2268 2372 2646 3558 3969 4151 5292 5337 7116 7938 8302 10674 12453 15876 16011 16604 21348 24906 29057 32022 37359 48033 49812 58114 64044 74718 87171 96066 112077 116228 149436 174342 192132 224154 261513 336231 348684 448308 523026 672462 784539 1046052 1344924 1569078 2353617 3138156 4707234 9414468