Search a number
-
+
3689104644 = 22325321912
BaseRepresentation
bin1101101111100011…
…0100010100000100
3100112002200221012100
43123320310110010
530023402322034
61410022152100
7160263605061
oct33370642404
910462627170
103689104644
111623448a15
1286b582630
1346a3aa674
1426dd45c68
15168d13099
hexdbe34504

3689104644 has 81 divisors (see below), whose sum is σ = 9554526709. Its totient is φ = 1200182880.

The previous prime is 3689104637. The next prime is 3689104651. The reversal of 3689104644 is 4464019863.

The square root of 3689104644 is 60738.

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

It is an interprime number because it is at equal distance from previous prime (3689104637) and next prime (3689104651).

It can be written as a sum of positive squares in only one way, i.e., 2659464900 + 1029639744 = 51570^2 + 32088^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3689104644.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19314589 + ... + 19314779.

Almost surely, 23689104644 is an apocalyptic number.

3689104644 is the 60738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3689104644

3689104644 is an abundant number, since it is smaller than the sum of its proper divisors (5865422065).

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

3689104644 is a wasteful number, since it uses less digits than its factorization.

3689104644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The cubic root of 3689104644 is about 1545.1607159924.

The spelling of 3689104644 in words is "three billion, six hundred eighty-nine million, one hundred four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 191 212 318 382 477 573 636 764 954 1146 1719 1908 2292 2809 3438 5618 6876 8427 10123 11236 16854 20246 25281 30369 33708 36481 40492 50562 60738 72962 91107 101124 109443 121476 145924 182214 218886 328329 364428 437772 536519 656658 1073038 1313316 1609557 1933493 2146076 3219114 3866986 4828671 5800479 6438228 7733972 9657342 11600958 17401437 19314684 23201916 34802874 69605748 102475129 204950258 307425387 409900516 614850774 922276161 1229701548 1844552322 3689104644