Search a number
-
+
3661016304 = 2431120633361
BaseRepresentation
bin1101101000110110…
…1010110011110000
3100110010211220020110
43122031222303300
524444210010204
61403140141320
7156503060631
oct33215526360
910403756213
103661016304
111609603810
12862097840
1346462484a
1426a313888
15166615889
hexda36acf0

3661016304 has 80 divisors (see below), whose sum is σ = 10325481984. Its totient is φ = 1108531200.

The previous prime is 3661016297. The next prime is 3661016309. The reversal of 3661016304 is 4036101663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661016309) 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 15 ways as a sum of consecutive naturals, for example, 1087584 + ... + 1090944.

Almost surely, 23661016304 is an apocalyptic number.

It is an amenable number.

3661016304 is an abundant number, since it is smaller than the sum of its proper divisors (6664465680).

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

3661016304 is a wasteful number, since it uses less digits than its factorization.

3661016304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3661016304 is about 60506.3327594724. The cubic root of 3661016304 is about 1541.2291732639.

Adding to 3661016304 its reverse (4036101663), we get a palindrome (7697117967).

The spelling of 3661016304 in words is "three billion, six hundred sixty-one million, sixteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2063 3361 4126 6189 6722 8252 10083 12378 13444 16504 20166 22693 24756 26888 33008 36971 40332 45386 49512 53776 68079 73942 80664 90772 99024 110913 136158 147884 161328 181544 221826 272316 295768 363088 443652 544632 591536 887304 1089264 1774608 6933743 13867486 20801229 27734972 41602458 55469944 76271173 83204916 110939888 152542346 166409832 228813519 305084692 332819664 457627038 610169384 915254076 1220338768 1830508152 3661016304