Search a number
-
+
3199083984 = 243423107323
BaseRepresentation
bin1011111010101110…
…0010010111010000
322020221122022020000
42332223202113100
523022431141414
61245235250000
7142163523315
oct27653422720
98227568200
103199083984
1113a1888168
12753449900
133bca0a905
14224c2ad0c
1513acbbb09
hexbeae25d0

3199083984 has 100 divisors (see below), whose sum is σ = 9661735776. Its totient is φ = 1019988288.

The previous prime is 3199083947. The next prime is 3199084003. The reversal of 3199083984 is 4893809913.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3199083984.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 23854 + ... + 83469.

Almost surely, 23199083984 is an apocalyptic number.

It is an amenable number.

3199083984 is an abundant number, since it is smaller than the sum of its proper divisors (6462651792).

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

3199083984 is a wasteful number, since it uses less digits than its factorization.

3199083984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107366 (or 107351 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 3199083984 is about 56560.4454013580. The cubic root of 3199083984 is about 1473.4719763791.

The spelling of 3199083984 in words is "three billion, one hundred ninety-nine million, eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14904 29808 107323 214646 321969 429292 643938 858584 965907 1287876 1717168 1931814 2468429 2575752 2897721 3863628 4936858 5151504 5795442 7405287 7727256 8693163 9873716 11590884 14810574 15454512 17386326 19747432 22215861 23181768 29621148 34772652 39494864 44431722 46363536 59242296 66647583 69545304 88863444 118484592 133295166 139090608 177726888 199942749 266590332 355453776 399885498 533180664 799770996 1066361328 1599541992 3199083984