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234333568 = 2772383137
BaseRepresentation
bin11011111011110…
…10010110000000
3121022221101020001
431331322112000
5434442133233
635130325344
75543542150
oct1575722600
9538841201
10234333568
11110303307
1266589854
1339718921
142319c760
151588c27d
hexdf7a580

234333568 has 128 divisors (see below), whose sum is σ = 567544320. Its totient is φ = 94212096.

The previous prime is 234333563. The next prime is 234333599. The reversal of 234333568 is 865333432.

234333568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2343335683 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234333563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1710396 + ... + 1710532.

It is an arithmetic number, because the mean of its divisors is an integer number (4433940).

Almost surely, 2234333568 is an apocalyptic number.

234333568 is a gapful number since it is divisible by the number (28) 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 234333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283772160).

234333568 is an abundant number, since it is smaller than the sum of its proper divisors (333210752).

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

234333568 is a wasteful number, since it uses less digits than its factorization.

234333568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its digits is 155520, while the sum is 37.

The square root of 234333568 is about 15307.9576691341. The cubic root of 234333568 is about 616.5166857399.

The spelling of 234333568 in words is "two hundred thirty-four million, three hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 83 92 112 128 137 161 166 184 224 274 322 332 368 448 548 581 644 664 736 896 959 1096 1162 1288 1328 1472 1909 1918 2192 2324 2576 2656 2944 3151 3818 3836 4384 4648 5152 5312 6302 7636 7672 8768 9296 10304 10624 11371 12604 13363 15272 15344 17536 18592 20608 22057 22742 25208 26726 30544 30688 37184 44114 45484 50416 53452 61088 61376 74368 79597 88228 90968 100832 106904 122176 122752 159194 176456 181936 201664 213808 244352 261533 318388 352912 363872 403328 427616 523066 636776 705824 727744 855232 1046132 1273552 1411648 1455488 1710464 1830731 2092264 2547104 2823296 3661462 4184528 5094208 7322924 8369056 10188416 14645848 16738112 29291696 33476224 58583392 117166784 234333568