Search a number
-
+
34004344241 = 72693966209
BaseRepresentation
bin11111101010110100…
…010001110110110001
310020202211011200000002
4133222310101312301
51024120103003431
623342115035345
72312442104600
oct375264216661
9106684150002
1034004344241
111346a62513a
12670bb9bb55
13328bb77c6a
1419081ada37
15d4045b3cb
hex7ead11db1

34004344241 has 6 divisors (see below), whose sum is σ = 39556073970. Its totient is φ = 29146580736.

The previous prime is 34004344201. The next prime is 34004344279. The reversal of 34004344241 is 14244340043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21397545841 + 12606798400 = 146279^2 + 112280^2 .

It is not a de Polignac number, because 34004344241 - 26 = 34004344177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34004344201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346983056 + ... + 346983153.

It is an arithmetic number, because the mean of its divisors is an integer number (6592678995).

Almost surely, 234004344241 is an apocalyptic number.

It is an amenable number.

34004344241 is a deficient number, since it is larger than the sum of its proper divisors (5551729729).

34004344241 is an equidigital number, since it uses as much as digits as its factorization.

34004344241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693966223 (or 693966216 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 34004344241 its reverse (14244340043), we get a palindrome (48248684284).

The spelling of 34004344241 in words is "thirty-four billion, four million, three hundred forty-four thousand, two hundred forty-one".

Divisors: 1 7 49 693966209 4857763463 34004344241