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234318336 = 2937193137
BaseRepresentation
bin11011111011101…
…10101000000000
3121022220121022220
431331312220000
5434441141321
635130131040
75543446560
oct1575665000
9538817286
10234318336
111102a291a
1266580a80
1339711a05
1423196da0
15158879c6
hexdf76a00

234318336 has 320 divisors, whose sum is σ = 796139520. Its totient is φ = 59719680.

The previous prime is 234318233. The next prime is 234318377. The reversal of 234318336 is 633813432.

234318336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 234318297 and 234318306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6332910 + ... + 6332946.

It is an arithmetic number, because the mean of its divisors is an integer number (2487936).

Almost surely, 2234318336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234318336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398069760).

234318336 is an abundant number, since it is smaller than the sum of its proper divisors (561821184).

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

234318336 is a wasteful number, since it uses less digits than its factorization.

234318336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 234318336 is about 15307.4601420353. The cubic root of 234318336 is about 616.5033273099.

The spelling of 234318336 in words is "two hundred thirty-four million, three hundred eighteen thousand, three hundred thirty-six".