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234068352 = 273731532
BaseRepresentation
bin11011111001110…
…01100110000000
3121022102220102020
431330321212000
5434410141402
635120521440
75541356010
oct1574714600
9538386366
10234068352
11110142021
1266480280
1339654cab
142312dc40
15158388bc
hexdf39980

234068352 has 192 divisors, whose sum is σ = 747586560. Its totient is φ = 63498240.

The previous prime is 234068333. The next prime is 234068423. The reversal of 234068352 is 253860432.

It is a happy number.

234068352 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4416358 + ... + 4416410.

It is an arithmetic number, because the mean of its divisors is an integer number (3893680).

Almost surely, 2234068352 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 234068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373793280).

234068352 is an abundant number, since it is smaller than the sum of its proper divisors (513518208).

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

234068352 is an equidigital number, since it uses as much as digits as its factorization.

234068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 234068352 is about 15299.2925326631. The cubic root of 234068352 is about 616.2840091387.

The spelling of 234068352 in words is "two hundred thirty-four million, sixty-eight thousand, three hundred fifty-two".