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234821232 = 243211314431
BaseRepresentation
bin11011111111100…
…01011001110000
3121100212011011200
431333301121300
5440103234412
635145011200
75550643002
oct1577613160
9540764150
10234821232
11110606738
1266783b00
1339859899
1423288372
15159369dc
hexdff1670

234821232 has 60 divisors (see below), whose sum is σ = 663034944. Its totient is φ = 77575680.

The previous prime is 234821183. The next prime is 234821233. The reversal of 234821232 is 232128432.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 234821196 and 234821205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234821233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9057 + ... + 23487.

Almost surely, 2234821232 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 234821232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331517472).

234821232 is an abundant number, since it is smaller than the sum of its proper divisors (428213712).

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

234821232 is a wasteful number, since it uses less digits than its factorization.

234821232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14558 (or 14549 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 234821232 is about 15323.8778381975. The cubic root of 234821232 is about 616.9440603817.

Adding to 234821232 its reverse (232128432), we get a palindrome (466949664).

The spelling of 234821232 in words is "two hundred thirty-four million, eight hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 14431 16272 28862 43293 57724 86586 115448 129879 173172 230896 259758 346344 519516 692688 1039032 1630703 2078064 3261406 4892109 6522812 9784218 13045624 14676327 19568436 26091248 29352654 39136872 58705308 78273744 117410616 234821232