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234440748 = 223223594799
BaseRepresentation
bin11011111100101…
…00100000101100
3121100010211020200
431332110200230
5440004100443
635132513500
75544466503
oct1576244054
9540124220
10234440748
11110376893
126661b890
1339755649
14231c983a
15158addd3
hexdf9482c

234440748 has 72 divisors (see below), whose sum is σ = 628992000. Its totient is φ = 73466976.

The previous prime is 234440737. The next prime is 234440749. The reversal of 234440748 is 847044432.

It is a happy number.

234440748 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 not an unprimeable number, because it can be changed into a prime (234440749) 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, 46453 + ... + 51251.

It is an arithmetic number, because the mean of its divisors is an integer number (8736000).

Almost surely, 2234440748 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 234440748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

234440748 is an abundant number, since it is smaller than the sum of its proper divisors (394551252).

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

234440748 is a wasteful number, since it uses less digits than its factorization.

234440748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 234440748 is about 15311.4580625099. The cubic root of 234440748 is about 616.6106659965.

The spelling of 234440748 in words is "two hundred thirty-four million, four hundred forty thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 92 118 138 177 207 236 276 354 414 531 708 828 1062 1357 2124 2714 4071 4799 5428 8142 9598 12213 14397 16284 19196 24426 28794 43191 48852 57588 86382 110377 172764 220754 283141 331131 441508 566282 662262 849423 993393 1132564 1324524 1698846 1986786 2548269 3397692 3973572 5096538 6512243 10193076 13024486 19536729 26048972 39073458 58610187 78146916 117220374 234440748