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234777073444 = 221924123112
BaseRepresentation
bin1101101010100111001…
…1011101011100100100
3211110000000111001200121
43122221303131130210
512321310412322234
6255504411251324
722650665124454
oct3325163353444
9743000431617
10234777073444
11906285a0211
1239602449b44
13191a72bc344
14b512b5bd64
15619166c4b4
hex36a9cdd724

234777073444 has 81 divisors (see below), whose sum is σ = 445890019953. Its totient is φ = 108148881600.

The previous prime is 234777073441. The next prime is 234777073457. The reversal of 234777073444 is 444370777432.

The square root of 234777073444 is 484538.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11312875044 + 223464198400 = 106362^2 + 472720^2 .

It is a super-2 number, since 2×2347770734442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234777073391 and 234777073400.

It is not an unprimeable number, because it can be changed into a prime (234777073441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 754910049 + ... + 754910359.

Almost surely, 2234777073444 is an apocalyptic number.

234777073444 is the 484538-th square number.

It is an amenable number.

234777073444 is a deficient number, since it is larger than the sum of its proper divisors (211112946509).

234777073444 is an equidigital number, since it uses as much as digits as its factorization.

234777073444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 52.

The spelling of 234777073444 in words is "two hundred thirty-four billion, seven hundred seventy-seven million, seventy-three thousand, four hundred forty-four".

Divisors: 1 2 4 19 38 41 76 82 164 311 361 622 722 779 1244 1444 1558 1681 3116 3362 5909 6724 11818 12751 14801 23636 25502 29602 31939 51004 59204 63878 96721 112271 127756 193442 224542 242269 386884 449084 484538 522791 606841 969076 1045582 1213682 1837699 2091164 2427364 3675398 3965561 4603111 7350796 7931122 9206222 9933029 15862244 18412444 19866058 34916281 39732116 69832562 75345659 139665124 150691318 162588001 188727551 301382636 325176002 377455102 650352004 754910204 1431567521 2863135042 3089172019 5726270084 6178344038 12356688076 58694268361 117388536722 234777073444