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12394368 = 273272953
BaseRepresentation
bin101111010001…
…111110000000
3212022200212200
4233101332000
511133104433
61121353200
7210231120
oct57217600
925280780
1012394368
116aa6088
124198800
13274c65c
141908c80
15114c613
hexbd1f80

12394368 has 192 divisors, whose sum is σ = 42962400. Its totient is φ = 3354624.

The previous prime is 12394367. The next prime is 12394373. The reversal of 12394368 is 86349321.

12394368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12394367) 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, 233830 + ... + 233882.

Almost surely, 212394368 is an apocalyptic number.

12394368 is a gapful number since it is divisible by the number (18) 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 12394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481200).

12394368 is an abundant number, since it is smaller than the sum of its proper divisors (30568032).

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

12394368 is a wasteful number, since it uses less digits than its factorization.

12394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12394368 is about 3520.5635912450. The cubic root of 12394368 is about 231.4238577654.

The spelling of 12394368 in words is "twelve million, three hundred ninety-four thousand, three hundred sixty-eight".