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3661045424 = 242344922157
BaseRepresentation
bin1101101000110111…
…0001111010110000
3100110010220101011222
43122031301322300
524444211423144
61403140524212
7156503241551
oct33215617260
910403811158
103661045424
111609623683
128620b0668
13464634b8a
1426a320328
1516661e2ee
hexda371eb0

3661045424 has 40 divisors (see below), whose sum is σ = 7418498400. Its totient is φ = 1746956288.

The previous prime is 3661045417. The next prime is 3661045459. The reversal of 3661045424 is 4245401663.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 154154 + ... + 176310.

It is an arithmetic number, because the mean of its divisors is an integer number (185462460).

Almost surely, 23661045424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661045424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709249200).

3661045424 is an abundant number, since it is smaller than the sum of its proper divisors (3757452976).

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

3661045424 is a wasteful number, since it uses less digits than its factorization.

3661045424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22637 (or 22631 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 3661045424 is about 60506.5733949626. The cubic root of 3661045424 is about 1541.2332596041.

The spelling of 3661045424 in words is "three billion, six hundred sixty-one million, forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 449 898 1796 3592 7184 10327 20654 22157 41308 44314 82616 88628 165232 177256 354512 509611 1019222 2038444 4076888 8153776 9948493 19896986 39793972 79587944 159175888 228815339 457630678 915261356 1830522712 3661045424