Search a number
-
+
3679204096 = 287122851
BaseRepresentation
bin1101101101001100…
…0011001100000000
3100111102001221012101
43123103003030000
530013334012341
61405030040144
7160113501361
oct33323031400
910442057171
103679204096
1116188a6547
128681a9054
13468322159
1426c8c9b68
15168009831
hexdb4c3300

3679204096 has 54 divisors (see below), whose sum is σ = 7451543036. Its totient is φ = 1813056000.

The previous prime is 3679204051. The next prime is 3679204121. The reversal of 3679204096 is 6904029763.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1289071 + ... + 1291921.

Almost surely, 23679204096 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 3679204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725771518).

3679204096 is an abundant number, since it is smaller than the sum of its proper divisors (3772338940).

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

3679204096 is an frugal number, since it uses more digits than its factorization.

3679204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The square root of 3679204096 is about 60656.4431532216. The cubic root of 3679204096 is about 1543.7772146721. Note that the first 3 decimals are identical.

The spelling of 3679204096 in words is "three billion, six hundred seventy-nine million, two hundred four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 1136 2272 2851 4544 5041 5702 9088 10082 11404 18176 20164 22808 40328 45616 80656 91232 161312 182464 202421 322624 364928 404842 645248 729856 809684 1290496 1619368 3238736 6477472 12954944 14371891 25909888 28743782 51819776 57487564 114975128 229950256 459900512 919801024 1839602048 3679204096