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3363420025 = 527216572
BaseRepresentation
bin1100100001111001…
…1011011101111001
322200101212102220001
43020132123131321
523342013420100
61313425433001
7146230412200
oct31036333571
98611772801
103363420025
111476621279
1279a49b761
13417a88b84
1423c9a8237
1514a42dd6a
hexc879b779

3363420025 has 27 divisors (see below), whose sum is σ = 4854491469. Its totient is φ = 2304953280.

The previous prime is 3363420017. The next prime is 3363420037. The reversal of 3363420025 is 5200243633.

The square root of 3363420025 is 57995.

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 348531561 + 3014888464 = 18669^2 + 54908^2 .

It is not a de Polignac number, because 3363420025 - 23 = 3363420017 is a prime.

It is a super-2 number, since 2×33634200252 = 22625188529142001250, 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 = 3363419975 and 3363420002.

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 26 ways as a sum of consecutive naturals, for example, 2028997 + ... + 2030653.

Almost surely, 23363420025 is an apocalyptic number.

3363420025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3363420025 is the 57995-th square number.

3363420025 is the 28998-th centered octagonal number.

It is an amenable number.

3363420025 is a deficient number, since it is larger than the sum of its proper divisors (1491071444).

3363420025 is an frugal number, since it uses more digits than its factorization.

3363420025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The cubic root of 3363420025 is about 1498.2824823207.

Adding to 3363420025 its reverse (5200243633), we get a palindrome (8563663658).

The spelling of 3363420025 in words is "three billion, three hundred sixty-three million, four hundred twenty thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 1657 8285 11599 41425 57995 81193 289975 405965 2029825 2745649 13728245 19219543 68641225 96097715 134536801 480488575 672684005 3363420025