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234700312 = 237112191823
BaseRepresentation
bin11011111110100…
…11111000011000
3121100122000022011
431333103320120
5440040402222
635142235304
75546630320
oct1577237030
9540560264
10234700312
11110533900
1266725b34
1339816832
1423256280
1515910c77
hexdfd3e18

234700312 has 96 divisors (see below), whose sum is σ = 582220800. Its totient is φ = 86581440.

The previous prime is 234700309. The next prime is 234700313. The reversal of 234700312 is 213007432.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234700313) 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 23 ways as a sum of consecutive naturals, for example, 127833 + ... + 129655.

It is an arithmetic number, because the mean of its divisors is an integer number (6064800).

Almost surely, 2234700312 is an apocalyptic number.

234700312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234700312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291110400).

234700312 is an abundant number, since it is smaller than the sum of its proper divisors (347520488).

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

234700312 is a wasteful number, since it uses less digits than its factorization.

234700312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 234700312 is about 15319.9318536343. The cubic root of 234700312 is about 616.8381447966.

Adding to 234700312 its reverse (213007432), we get a palindrome (447707744).

The spelling of 234700312 in words is "two hundred thirty-four million, seven hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 121 133 152 154 209 242 266 308 418 484 532 616 836 847 968 1064 1463 1672 1694 1823 2299 2926 3388 3646 4598 5852 6776 7292 9196 11704 12761 14584 16093 18392 20053 25522 32186 34637 40106 51044 64372 69274 80212 102088 128744 138548 140371 160424 220583 242459 277096 280742 381007 441166 484918 561484 762014 882332 969836 1122968 1524028 1544081 1764664 1939672 2667049 3048056 3088162 4191077 5334098 6176324 8382154 10668196 12352648 16764308 21336392 29337539 33528616 58675078 117350156 234700312