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233343628 = 227294143163
BaseRepresentation
bin11011110100010…
…00101010001100
3121021002002021121
431322020222030
5434213444003
635053210324
75532250060
oct1572105214
9537062247
10233343628
1110a797581
12661909a4
133946016b
1422dc1aa0
1515743cbd
hexde88a8c

233343628 has 96 divisors (see below), whose sum is σ = 509160960. Its totient is φ = 91445760.

The previous prime is 233343623. The next prime is 233343629. The reversal of 233343628 is 826343332.

233343628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233343593 and 233343602.

It is not an unprimeable number, because it can be changed into a prime (233343623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431475 + ... + 1431637.

It is an arithmetic number, because the mean of its divisors is an integer number (5303760).

Almost surely, 2233343628 is an apocalyptic number.

233343628 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 233343628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254580480).

233343628 is an abundant number, since it is smaller than the sum of its proper divisors (275817332).

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

233343628 is a wasteful number, since it uses less digits than its factorization.

233343628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its digits is 62208, while the sum is 34.

The square root of 233343628 is about 15275.5892848688. The cubic root of 233343628 is about 615.6473040027.

It can be divided in two parts, 23334 and 3628, that added together give a palindrome (26962).

The spelling of 233343628 in words is "two hundred thirty-three million, three hundred forty-three thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 29 41 43 58 82 86 116 163 164 172 203 287 301 326 406 574 602 652 812 1141 1148 1189 1204 1247 1763 2282 2378 2494 3526 4564 4727 4756 4988 6683 7009 7052 8323 8729 9454 12341 13366 14018 16646 17458 18908 24682 26732 28036 33089 33292 34916 46781 49063 49364 51127 66178 93562 98126 102254 132356 187124 193807 196252 203261 204508 287369 357889 387614 406522 574738 715778 775228 813044 1149476 1356649 1422827 1431556 2011583 2713298 2845654 4023166 5426596 5691308 8046332 8333701 16667402 33334804 58335907 116671814 233343628