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3004276000 = 25531168279
BaseRepresentation
bin1011001100010001…
…1001110100100000
321202101002000220111
42303010121310200
522123043313000
61214040021104
7134306632105
oct26304316440
97671060814
103004276000
111301921030
126ba161794
1338b55090b
14206ddaaac
15128b3acba
hexb3119d20

3004276000 has 96 divisors (see below), whose sum is σ = 8052670080. Its totient is φ = 1092448000.

The previous prime is 3004275997. The next prime is 3004276001. The reversal of 3004276000 is 6724003.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3004276001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9861 + ... + 78139.

It is an arithmetic number, because the mean of its divisors is an integer number (83881980).

Almost surely, 23004276000 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 3004276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026335040).

3004276000 is an abundant number, since it is smaller than the sum of its proper divisors (5048394080).

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

3004276000 is a wasteful number, since it uses less digits than its factorization.

3004276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68315 (or 68297 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3004276000 is about 54811.2762121080. The cubic root of 3004276000 is about 1442.9344738010.

The spelling of 3004276000 in words is "three billion, four million, two hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 68279 136558 273116 341395 546232 682790 751069 1092464 1365580 1502138 1706975 2184928 2731160 3004276 3413950 3755345 5462320 6008552 6827900 7510690 8534875 10924640 12017104 13655800 15021380 17069750 18776725 24034208 27311600 30042760 34139500 37553450 54623200 60085520 68279000 75106900 93883625 120171040 136558000 150213800 187767250 273116000 300427600 375534500 600855200 751069000 1502138000 3004276000