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3300104000 = 26533711149
BaseRepresentation
bin1100010010110011…
…1001011101000000
322111222201122122002
43010230321131000
523224311312000
61303244403132
7144531264314
oct30454713500
98458648562
103300104000
111443905a86
127812464a8
1340791a77b
14234405b44
15144ac38d5
hexc4b39740

3300104000 has 112 divisors (see below), whose sum is σ = 8394344400. Its totient is φ = 1284249600.

The previous prime is 3300103991. The next prime is 3300104011. The reversal of 3300104000 is 4010033.

It can be written as a sum of positive squares in 8 ways, for example, as 699919936 + 2600184064 = 26456^2 + 50992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290426 + ... + 301574.

Almost surely, 23300104000 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 3300104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197172200).

3300104000 is an abundant number, since it is smaller than the sum of its proper divisors (5094240400).

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

3300104000 is a wasteful number, since it uses less digits than its factorization.

3300104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11213 (or 11193 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3300104000 is about 57446.5316620595. The cubic root of 3300104000 is about 1488.8211927671.

Adding to 3300104000 its reverse (4010033), we get a palindrome (3304114033).

The spelling of 3300104000 in words is "three billion, three hundred million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 740 800 925 1000 1184 1480 1600 1850 2000 2368 2960 3700 4000 4625 5920 7400 8000 9250 11149 11840 14800 18500 22298 29600 37000 44596 55745 59200 74000 89192 111490 148000 178384 222980 278725 296000 356768 412513 445960 557450 713536 825026 891920 1114900 1393625 1650052 1783840 2062565 2229800 2787250 3300104 3567680 4125130 4459600 5574500 6600208 8250260 8919200 10312825 11149000 13200416 16500520 17838400 20625650 22298000 26400832 33001040 41251300 44596000 51564125 66002080 82502600 89192000 103128250 132004160 165005200 206256500 330010400 412513000 660020800 825026000 1650052000 3300104000