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3012040000 = 2654257293
BaseRepresentation
bin1011001110001000…
…0001010101000000
321202220200111010001
42303202001111000
522132040240000
61214514245344
7134432626504
oct26342012500
97686614101
103012040000
111306244262
12700886854
1339003b7b8
1420805c304
1512967146a
hexb3881540

3012040000 has 140 divisors (see below), whose sum is σ = 7523532324. Its totient is φ = 1196032000.

The previous prime is 3012039997. The next prime is 3012040001. The reversal of 3012040000 is 402103.

It can be written as a sum of positive squares in 10 ways, for example, as 601622784 + 2410417216 = 24528^2 + 49096^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10279854 + ... + 10280146.

Almost surely, 23012040000 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 3012040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761766162).

3012040000 is an abundant number, since it is smaller than the sum of its proper divisors (4511492324).

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

3012040000 is an equidigital number, since it uses as much as digits as its factorization.

3012040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3012040000 is about 54882.0553550976. The cubic root of 3012040000 is about 1444.1764043511.

Adding to 3012040000 its reverse (402103), we get a palindrome (3012442103).

The spelling of 3012040000 in words is "three billion, twelve million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 257 293 320 400 500 514 586 625 800 1000 1028 1172 1250 1285 1465 1600 2000 2056 2344 2500 2570 2930 4000 4112 4688 5000 5140 5860 6425 7325 8000 8224 9376 10000 10280 11720 12850 14650 16448 18752 20000 20560 23440 25700 29300 32125 36625 40000 41120 46880 51400 58600 64250 73250 75301 82240 93760 102800 117200 128500 146500 150602 160625 183125 205600 234400 257000 293000 301204 321250 366250 376505 411200 468800 514000 586000 602408 642500 732500 753010 1028000 1172000 1204816 1285000 1465000 1506020 1882525 2056000 2344000 2409632 2570000 2930000 3012040 3765050 4819264 5140000 5860000 6024080 7530100 9412625 10280000 11720000 12048160 15060200 18825250 24096320 30120400 37650500 47063125 60240800 75301000 94126250 120481600 150602000 188252500 301204000 376505000 602408000 753010000 1506020000 3012040000