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3013282944 = 2734741519
BaseRepresentation
bin1011001110011011…
…0000110010000000
321210000000122010000
42303212300302000
522132400023234
61215001040000
7134446324320
oct26346606200
97700018100
103013282944
111306a13091
12701186000
13390385479
142082a3280
15129819899
hexb39b0c80

3013282944 has 160 divisors (see below), whose sum is σ = 10248796800. Its totient is φ = 860917248.

The previous prime is 3013282927. The next prime is 3013282949. The reversal of 3013282944 is 4492823103.

3013282944 is a `hidden beast` number, since 301 + 328 + 29 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3013282899 and 3013282908.

It is not an unprimeable number, because it can be changed into a prime (3013282949) 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 19 ways as a sum of consecutive naturals, for example, 51817 + ... + 93335.

It is an arithmetic number, because the mean of its divisors is an integer number (64054980).

Almost surely, 23013282944 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 3013282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124398400).

3013282944 is an abundant number, since it is smaller than the sum of its proper divisors (7235513856).

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

3013282944 is an equidigital number, since it uses as much as digits as its factorization.

3013282944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41552 (or 41531 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3013282944 is about 54893.3779612805. The cubic root of 3013282944 is about 1444.3750276033.

The spelling of 3013282944 in words is "three billion, thirteen million, two hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 41519 72576 83038 124557 166076 249114 290633 332152 373671 498228 581266 664304 747342 871899 996456 1121013 1162532 1328608 1494684 1743798 1992912 2242026 2325064 2615697 2657216 2989368 3363039 3487596 3985824 4484052 4650128 5231394 5314432 5978736 6726078 6975192 7847091 7971648 8968104 9300256 10462788 11957472 13452156 13950384 15694182 15943296 17936208 18600512 20925576 23541273 23914944 26904312 27900768 31388364 35872416 37201024 41851152 47082546 47829888 53808624 55801536 62776728 71744832 83702304 94165092 107617248 111603072 125553456 143489664 167404608 188330184 215234496 251106912 334809216 376660368 430468992 502213824 753320736 1004427648 1506641472 3013282944