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234938340 = 223357213683
BaseRepresentation
bin11100000000011…
…01111111100100
3121101002002211000
432000031333210
5440121011330
635151313300
75551641300
oct1600157744
9541062730
10234938340
1111068671a
126681b830
133989ac90
14232b8d00
151595b560
hexe00dfe4

234938340 has 288 divisors, whose sum is σ = 916997760. Its totient is φ = 49496832.

The previous prime is 234938339. The next prime is 234938357. The reversal of 234938340 is 43839432.

It is a happy number.

234938340 is a `hidden beast` number, since 234 + 9 + 383 + 40 = 666.

234938340 is digitally balanced in base 2, because in such base 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 234938295 and 234938304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343639 + ... + 344321.

It is an arithmetic number, because the mean of its divisors is an integer number (3184020).

Almost surely, 2234938340 is an apocalyptic number.

234938340 is a gapful number since it is divisible by the number (20) 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 234938340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458498880).

234938340 is an abundant number, since it is smaller than the sum of its proper divisors (682059420).

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

234938340 is a wasteful number, since it uses less digits than its factorization.

234938340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 234938340 is about 15327.6984573680. The cubic root of 234938340 is about 617.0466023271.

The spelling of 234938340 in words is "two hundred thirty-four million, nine hundred thirty-eight thousand, three hundred forty".