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3006370048 = 28113672909
BaseRepresentation
bin1011001100110001…
…1001000100000000
321202112000102101211
42303030121010000
522124112320143
61214152535504
7134333503153
oct26314310400
97675012354
103006370048
111303021350
126ba9b1594
1338bb04ab6
142073c3c9a
15128e0149d
hexb3319100

3006370048 has 72 divisors (see below), whose sum is σ = 6566636160. Its totient is φ = 1362339840.

The previous prime is 3006370033. The next prime is 3006370097. The reversal of 3006370048 is 8400736003.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1032018 + ... + 1034926.

It is an arithmetic number, because the mean of its divisors is an integer number (91203280).

Almost surely, 23006370048 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 3006370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283318080).

3006370048 is an abundant number, since it is smaller than the sum of its proper divisors (3560266112).

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

3006370048 is a wasteful number, since it uses less digits than its factorization.

3006370048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 3006370048 is about 54830.3752312530. The cubic root of 3006370048 is about 1443.2696485414.

The spelling of 3006370048 in words is "three billion, six million, three hundred seventy thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 367 704 734 1408 1468 2816 2909 2936 4037 5818 5872 8074 11636 11744 16148 23272 23488 31999 32296 46544 46976 63998 64592 93088 93952 127996 129184 186176 255992 258368 372352 511984 516736 744704 1023968 1033472 1067603 2047936 2135206 4095872 4270412 8191744 8540824 11743633 17081648 23487266 34163296 46974532 68326592 93949064 136653184 187898128 273306368 375796256 751592512 1503185024 3006370048