Search a number
-
+
330043111434 = 2342922422477
BaseRepresentation
bin1001100110110000001…
…10100011100000001010
31011112220021100012220000
410303120012203200022
520401412014031214
6411341505143430
732562530105451
oct4633006434012
91145807305800
10330043111434
11117a74806613
1253b6a92ab76
132517a10981a
1411d8d1adb98
1588b9ea1809
hex4cd81a380a

330043111434 has 60 divisors (see below), whose sum is σ = 765922136694. Its totient is φ = 106220727648.

The previous prime is 330043111403. The next prime is 330043111493. The reversal of 330043111434 is 434111340033.

330043111434 is a `hidden beast` number, since 3 + 300 + 4 + 311 + 1 + 43 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 220855822209 + 109187289225 = 469953^2 + 330435^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330043111398 and 330043111407.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1074997 + ... + 1347480.

Almost surely, 2330043111434 is an apocalyptic number.

330043111434 is an abundant number, since it is smaller than the sum of its proper divisors (435879025260).

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

330043111434 is a wasteful number, since it uses less digits than its factorization.

330043111434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422549 (or 2422511 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 330043111434 its reverse (434111340033), we get a palindrome (764154451467).

The spelling of 330043111434 in words is "three hundred thirty billion, forty-three million, one hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 841 1566 1682 2349 2523 4698 5046 7569 15138 22707 45414 68121 136242 2422477 4844954 7267431 14534862 21802293 43604586 65406879 70251833 130813758 140503666 196220637 210755499 392441274 421510998 632266497 1264532994 1896799491 2037303157 3793598982 4074606314 5690398473 6111909471 11380796946 12223818942 18335728413 36671456826 55007185239 110014370478 165021555717 330043111434