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234442414340 = 22553337656297
BaseRepresentation
bin1101101001010111011…
…0110101100100000100
3211102010200202121200222
43122111312311210010
512320114224224330
6255411254323512
722636462433111
oct3322566654404
9742120677628
10234442414340
11904766a3942
123952a359598
1319152b779c4
14b4c0525908
1561720b40e5
hex3695db5904

234442414340 has 48 divisors (see below), whose sum is σ = 503107546032. Its totient is φ = 91734429696.

The previous prime is 234442414319. The next prime is 234442414357. The reversal of 234442414340 is 43414244432.

234442414340 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 8 ways, for example, as 6739753216 + 227702661124 = 82096^2 + 477182^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 234442414340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29072 + ... + 685368.

It is an arithmetic number, because the mean of its divisors is an integer number (10481407209).

Almost surely, 2234442414340 is an apocalyptic number.

234442414340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234442414340 is an abundant number, since it is smaller than the sum of its proper divisors (268665131692).

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

234442414340 is a wasteful number, since it uses less digits than its factorization.

234442414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656696 (or 656694 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 234442414340 its reverse (43414244432), we get a palindrome (277856658772).

The spelling of 234442414340 in words is "two hundred thirty-four billion, four hundred forty-two million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 337 530 674 1060 1348 1685 3370 6740 17861 35722 71444 89305 178610 357220 656297 1312594 2625188 3281485 6562970 13125940 34783741 69567482 139134964 173918705 221172089 347837410 442344178 695674820 884688356 1105860445 2211720890 4423441780 11722120717 23444241434 46888482868 58610603585 117221207170 234442414340