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234034380441 = 32474732
BaseRepresentation
bin1101100111110110001…
…0010011111010011001
3211101002020222100102100
43121331202103322121
512313300300133231
6255303000554013
722623406260651
oct3317542237231
9741066870370
10234034380441
1190287340a44
1239435782909
13190b9482724
14b48226d361
15614b3651e6
hex367d893e99

234034380441 has 45 divisors (see below), whose sum is σ = 350194866879. Its totient is φ = 150611457888.

The previous prime is 234034380439. The next prime is 234034380491. The reversal of 234034380441 is 144083430432.

The square root of 234034380441 is 483771.

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

234034380441 is a `hidden beast` number, since 234 + 0 + 3 + 4 + 380 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132849315225 + 101185065216 = 364485^2 + 318096^2 .

It is not a de Polignac number, because 234034380441 - 21 = 234034380439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234034380396 and 234034380405.

It is not an unprimeable number, because it can be changed into a prime (234034380491) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3205950381 + ... + 3205950453.

Almost surely, 2234034380441 is an apocalyptic number.

234034380441 is the 483771-st square number.

234034380441 is the 241886-th centered octagonal number.

It is an amenable number.

234034380441 is a deficient number, since it is larger than the sum of its proper divisors (116160486438).

234034380441 is an frugal number, since it uses more digits than its factorization.

234034380441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Multiplying 234034380441 by its sum of digits (36), we get a square (8425237695876 = 29026262).

The spelling of 234034380441 in words is "two hundred thirty-four billion, thirty-four million, three hundred eighty thousand, four hundred forty-one".

Divisors: 1 3 9 47 73 141 219 423 657 2209 3431 5329 6627 10293 15987 19881 30879 47961 103823 161257 250463 311469 483771 751389 934407 1451313 2254167 4879681 7579079 11771761 14639043 22737237 35315283 43917129 68211711 105945849 356216713 553272767 1068650139 1659818301 3205950417 4979454903 26003820049 78011460147 234034380441