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3246606441 = 341324872
BaseRepresentation
bin1100000110000011…
…0100100001101001
322101021001200210000
43001200310201221
523122112401231
61254054013213
7143311461621
oct30140644151
98337050700
103246606441
111416696521
12767347209
133c9809400
1422b27b881
151400576e6
hexc1834869

3246606441 has 45 divisors (see below), whose sum is σ = 5262438951. Its totient is φ = 1993809168.

The previous prime is 3246606427. The next prime is 3246606457. The reversal of 3246606441 is 1446066423.

The square root of 3246606441 is 56979.

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

3246606441 is a `hidden beast` number, since 3 + 2 + 4 + 6 + 6 + 0 + 644 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 480267225 + 2766339216 = 21915^2 + 52596^2 .

It is not a de Polignac number, because 3246606441 - 213 = 3246598249 is a prime.

It is a super-4 number, since 4×32466064414 (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3246606396 and 3246606405.

It is not an unprimeable number, because it can be changed into a prime (3246606481) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6666300 + ... + 6666786.

Almost surely, 23246606441 is an apocalyptic number.

3246606441 is the 56979-th square number.

3246606441 is the 28490-th centered octagonal number.

It is an amenable number.

3246606441 is a deficient number, since it is larger than the sum of its proper divisors (2015832510).

3246606441 is an frugal number, since it uses more digits than its factorization.

3246606441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The cubic root of 3246606441 is about 1480.7322954146.

Multiplying 3246606441 by its sum of digits (36), we get a square (116877831876 = 3418742).

Multiplying 3246606441 by its product of nonzero digits (82944), we get a square (269286524642304 = 164099522).

The spelling of 3246606441 in words is "three billion, two hundred forty-six million, six hundred six thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 487 507 1053 1461 1521 4383 4563 6331 13149 13689 18993 39447 56979 82303 170937 237169 246909 512811 711507 740727 2134521 2222181 3083197 6403563 6666543 9249591 19210689 27748773 40081561 83246319 120244683 249738957 360734049 1082202147 3246606441