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3405344225 = 52409333041
BaseRepresentation
bin1100101011111001…
…0110110111100001
322210022202102002012
43022332112313201
523433232003400
61321524202305
7150246643163
oct31276266741
98708672065
103405344225
111498256578
127b0539395
134236774aa
1424439c933
1514de60d35
hexcaf96de1

3405344225 has 12 divisors (see below), whose sum is σ = 4232963820. Its totient is φ = 2717606400.

The previous prime is 3405344209. The next prime is 3405344233. The reversal of 3405344225 is 5224435043.

It can be written as a sum of positive squares in 6 ways, for example, as 5987809 + 3399356416 = 2447^2 + 58304^2 .

It is not a de Polignac number, because 3405344225 - 24 = 3405344209 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3405344191 and 3405344200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156296 + ... + 176745.

It is an arithmetic number, because the mean of its divisors is an integer number (352746985).

Almost surely, 23405344225 is an apocalyptic number.

It is an amenable number.

3405344225 is a deficient number, since it is larger than the sum of its proper divisors (827619595).

3405344225 is a wasteful number, since it uses less digits than its factorization.

3405344225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333460 (or 333455 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 3405344225 is about 58355.3273060823. The cubic root of 3405344225 is about 1504.4820349768.

Adding to 3405344225 its reverse (5224435043), we get a palindrome (8629779268).

The spelling of 3405344225 in words is "three billion, four hundred five million, three hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 409 2045 10225 333041 1665205 8326025 136213769 681068845 3405344225