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3405306025 = 5211210612
BaseRepresentation
bin1100101011111000…
…1101100010101001
322210022200110200101
43022332031202221
523433224243100
61321523305401
7150246423622
oct31276154251
98708613611
103405306025
11149822a900
127b051b261
13423662ca4
1424438ca49
1514de5486a
hexcaf8d8a9

3405306025 has 27 divisors (see below), whose sum is σ = 4645726309. Its totient is φ = 2474252000.

The previous prime is 3405306017. The next prime is 3405306049. The reversal of 3405306025 is 5206035043.

The square root of 3405306025 is 58355.

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 1283689 + 3404022336 = 1133^2 + 58344^2 .

It is not a de Polignac number, because 3405306025 - 23 = 3405306017 is a prime.

It is a super-2 number, since 2×34053060252 = 23192218247802601250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3405305984 and 3405306002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3208995 + ... + 3210055.

Almost surely, 23405306025 is an apocalyptic number.

3405306025 is the 58355-th square number.

3405306025 is the 29178-th centered octagonal number.

It is an amenable number.

3405306025 is a deficient number, since it is larger than the sum of its proper divisors (1240420284).

3405306025 is an equidigital number, since it uses as much as digits as its factorization.

3405306025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The cubic root of 3405306025 is about 1504.4764093655.

The spelling of 3405306025 in words is "three billion, four hundred five million, three hundred six thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 605 1061 3025 5305 11671 26525 58355 128381 291775 641905 1125721 3209525 5628605 12382931 28143025 61914655 136212241 309573275 681061205 3405306025