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3420495225 = 3252725572
BaseRepresentation
bin1100101111100000…
…1001110101111001
322211101021011100100
43023320021311321
524001121321400
61323225030013
7150522505200
oct31370116571
98741234310
103420495225
1114a5864764
127b5625309
13426850794
142463c4237
15150455100
hexcbe09d79

3420495225 has 81 divisors (see below), whose sum is σ = 7139547597. Its totient is φ = 1560847680.

The previous prime is 3420495203. The next prime is 3420495241. The reversal of 3420495225 is 5225940243.

The square root of 3420495225 is 58485.

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

3420495225 is a `hidden beast` number, since 3 + 420 + 4 + 9 + 5 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1176009849 + 2244485376 = 34293^2 + 47376^2 .

It is not a de Polignac number, because 3420495225 - 29 = 3420494713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3420495225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6140647 + ... + 6141203.

Almost surely, 23420495225 is an apocalyptic number.

3420495225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3420495225 is the 58485-th square number.

3420495225 is the 29243-rd centered octagonal number.

It is an amenable number.

3420495225 is an abundant number, since it is smaller than the sum of its proper divisors (3719052372).

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

3420495225 is an equidigital number, since it uses as much as digits as its factorization.

3420495225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 3420495225 is about 1506.7099727537.

Multiplying 3420495225 by its sum of digits (36), we get a square (123137828100 = 3509102).

The spelling of 3420495225 in words is "three billion, four hundred twenty million, four hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 557 735 1225 1575 1671 2205 2785 3675 3899 5013 8355 11025 11697 13925 19495 25065 27293 35091 41775 58485 81879 97475 125325 136465 175455 245637 292425 310249 409395 682325 877275 930747 1228185 1551245 2046975 2171743 2792241 4653735 6140925 6515229 7756225 10858715 13961205 15202201 19545687 23268675 32576145 45606603 54293575 69806025 76011005 97728435 136819809 162880725 228033015 380055025 488642175 684099045 1140165075 3420495225