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3408808225 = 52116772
BaseRepresentation
bin1100101100101110…
…0100100100100001
322210120021101210111
43023023210210201
523440123330400
61322130331321
7150321251254
oct31313444441
98716241714
103408808225
11149a202089
127b1729b41
134242bb0b4
14244a2109b
1514e3e73ba
hexcb2e4921

3408808225 has 9 divisors (see below), whose sum is σ = 4227284217. Its totient is φ = 2726813040.

The previous prime is 3408808213. The next prime is 3408808229. The reversal of 3408808225 is 5228088043.

The square root of 3408808225 is 58385.

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

It can be written as a sum of positive squares in 4 ways, for example, as 212488929 + 3196319296 = 14577^2 + 56536^2 .

It is not a de Polignac number, because 3408808225 - 27 = 3408808097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3408808229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 286087 + ... + 297763.

Almost surely, 23408808225 is an apocalyptic number.

3408808225 is the 58385-th square number.

3408808225 is the 29193-rd centered octagonal number.

It is an amenable number.

3408808225 is a deficient number, since it is larger than the sum of its proper divisors (818475992).

3408808225 is an frugal number, since it uses more digits than its factorization.

3408808225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23364 (or 11682 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The cubic root of 3408808225 is about 1504.9919941591.

The spelling of 3408808225 in words is "three billion, four hundred eight million, eight hundred eight thousand, two hundred twenty-five".

Divisors: 1 5 25 11677 58385 291925 136352329 681761645 3408808225