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3023980200 = 2332522373043
BaseRepresentation
bin1011010000111110…
…0100011010101000
321210202011002222200
42310033210122220
522143114331300
61220022220200
7134636256543
oct26417443250
97722132880
103023980200
111311a5a09a
12704884660
1339265c4c7
1420988985a
1512a72e200
hexb43e46a8

3023980200 has 144 divisors (see below), whose sum is σ = 10597223520. Its totient is φ = 771323520.

The previous prime is 3023980171. The next prime is 3023980229. The reversal of 3023980200 is 20893203.

It is an interprime number because it is at equal distance from previous prime (3023980171) and next prime (3023980229).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4879 + ... + 77921.

It is an arithmetic number, because the mean of its divisors is an integer number (73591830).

Almost surely, 23023980200 is an apocalyptic number.

3023980200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298611760).

3023980200 is an abundant number, since it is smaller than the sum of its proper divisors (7573243320).

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

3023980200 is a wasteful number, since it uses less digits than its factorization.

3023980200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73088 (or 73076 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3023980200 is about 54990.7283094159. The cubic root of 3023980200 is about 1446.0822023596.

The spelling of 3023980200 in words is "three billion, twenty-three million, nine hundred eighty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 73043 146086 219129 292172 365215 438258 584344 657387 730430 876516 1095645 1314774 1460860 1679989 1753032 1826075 2191290 2629548 2921720 3286935 3359978 3652150 4382580 5039967 5259096 5478225 6573870 6719956 7304300 8399945 8765160 10079934 10956450 13147740 13439912 14608600 15119901 16434675 16799890 20159868 21912900 25199835 26295480 30239802 32869350 33599780 40319736 41999725 43825800 50399670 60479604 65738700 67199560 75599505 83999450 100799340 120959208 125999175 131477400 151199010 167998900 201598680 251998350 302398020 335997800 377997525 503996700 604796040 755995050 1007993400 1511990100 3023980200