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3426346225 = 522325092
BaseRepresentation
bin1100110000111001…
…1110010011110001
322211210021102102001
43030032132103301
524004121034400
61323554254001
7150623314411
oct31416362361
98753242361
103426346225
1114a90a06a5
127b7587301
13427b1ba03
142470a8641
15150c0da6a
hexcc39e4f1

3426346225 has 27 divisors (see below), whose sum is σ = 4450168513. Its totient is φ = 2616748640.

The previous prime is 3426346223. The next prime is 3426346241. The reversal of 3426346225 is 5226436243.

The square root of 3426346225 is 58535.

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 130667761 + 3295678464 = 11431^2 + 57408^2 .

It is not a de Polignac number, because 3426346225 - 21 = 3426346223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3426346223) by changing a digit.

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, 6731271 + ... + 6731779.

Almost surely, 23426346225 is an apocalyptic number.

3426346225 is the 58535-th square number.

3426346225 is the 29268-th centered octagonal number.

It is an amenable number.

3426346225 is a deficient number, since it is larger than the sum of its proper divisors (1023822288).

3426346225 is an frugal number, since it uses more digits than its factorization.

3426346225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its digits is 207360, while the sum is 37.

The cubic root of 3426346225 is about 1507.5685948324.

The spelling of 3426346225 in words is "three billion, four hundred twenty-six million, three hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 509 529 575 2545 2645 11707 12725 13225 58535 259081 269261 292675 1295405 1346305 5958863 6477025 6731525 29794315 137053849 148971575 685269245 3426346225