Search a number
-
+
34004524100 = 2252340045241
BaseRepresentation
bin11111101010110100…
…111101110001000100
310020202211111210201112
4133222310331301010
51024120124232400
623342122544152
72312443454141
oct375264756104
9106684453645
1034004524100
111346a738288
126710068058
13328bc0baa1
1419082193c8
15d40494835
hex7ead3dc44

34004524100 has 18 divisors (see below), whose sum is σ = 73789817514. Its totient is φ = 13601809600.

The previous prime is 34004524013. The next prime is 34004524109. The reversal of 34004524100 is 142540043.

It can be written as a sum of positive squares in 3 ways, for example, as 301439044 + 33703085056 = 17362^2 + 183584^2 .

It is not an unprimeable number, because it can be changed into a prime (34004524109) 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, 170022521 + ... + 170022720.

Almost surely, 234004524100 is an apocalyptic number.

It is an amenable number.

34004524100 is an abundant number, since it is smaller than the sum of its proper divisors (39785293414).

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

34004524100 is a wasteful number, since it uses less digits than its factorization.

34004524100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340045255 (or 340045248 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The spelling of 34004524100 in words is "thirty-four billion, four million, five hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 340045241 680090482 1360180964 1700226205 3400452410 6800904820 8501131025 17002262050 34004524100