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234058248 = 23346012
BaseRepresentation
bin11011111001101…
…11001000001000
3121022102101120000
431330313020020
5434404330443
635120403000
75541314364
oct1574671010
9538371500
10234058248
11110135476
1266476460
1339650508
142312a2a4
15158358d3
hexdf37208

234058248 has 60 divisors (see below), whose sum is σ = 656672445. Its totient is φ = 77889600.

The previous prime is 234058247. The next prime is 234058259. The reversal of 234058248 is 842850432.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

234058248 is a `hidden beast` number, since 2 + 3 + 405 + 8 + 248 = 666.

234058248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 202720644 + 31337604 = 14238^2 + 5598^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10818.

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 (234058243) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 389148 + ... + 389748.

Almost surely, 2234058248 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 234058248

234058248 is an abundant number, since it is smaller than the sum of its proper divisors (422614197).

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

234058248 is an frugal number, since it uses more digits than its factorization.

234058248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 234058248 is about 15298.9623177521. The cubic root of 234058248 is about 616.2751413256.

The spelling of 234058248 in words is "two hundred thirty-four million, fifty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 601 648 1202 1803 2404 3606 4808 5409 7212 10818 14424 16227 21636 32454 43272 48681 64908 97362 129816 194724 361201 389448 722402 1083603 1444804 2167206 2889608 3250809 4334412 6501618 8668824 9752427 13003236 19504854 26006472 29257281 39009708 58514562 78019416 117029124 234058248