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234307306809 = 3247234332
BaseRepresentation
bin1101101000110111001…
…1011100010100111001
3211101210021112110000100
43122031303130110321
512314330132304214
6255350030430013
722633232150442
oct3321563342471
9741707473010
10234307306809
1190407403624
12394b1062309
1319130b91514
14b4aa5d62c9
1561652c7309
hex368dcdc539

234307306809 has 27 divisors (see below), whose sum is σ = 345898789743. Its totient is φ = 152836830432.

The previous prime is 234307306777. The next prime is 234307306817. The reversal of 234307306809 is 908603703432.

The square root of 234307306809 is 484053.

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

234307306809 is a `hidden beast` number, since 2 + 34 + 307 + 306 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77548325625 + 156758981184 = 278475^2 + 395928^2 .

It is not a de Polignac number, because 234307306809 - 25 = 234307306777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234307306829) 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, 68249757 + ... + 68253189.

Almost surely, 2234307306809 is an apocalyptic number.

234307306809 is the 484053-rd square number.

234307306809 is the 242027-th centered octagonal number.

It is an amenable number.

234307306809 is a deficient number, since it is larger than the sum of its proper divisors (111591482934).

234307306809 is an frugal number, since it uses more digits than its factorization.

234307306809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 234307306809 in words is "two hundred thirty-four billion, three hundred seven million, three hundred six thousand, eight hundred nine".

Divisors: 1 3 9 47 141 423 2209 3433 6627 10299 19881 30897 161351 484053 1452159 7583497 11785489 22750491 35356467 68251473 106069401 553917983 1661753949 4985261847 26034145201 78102435603 234307306809