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3013248 = 27371959
BaseRepresentation
bin1011011111101010000000
312200002101210
423133222000
51232410443
6144330120
734416660
oct13375200
95602353
103013248
111778997
121013940
138166b4
145861a0
153e7c33
hex2dfa80

3013248 has 128 divisors (see below), whose sum is σ = 9792000. Its totient is φ = 801792.

The previous prime is 3013237. The next prime is 3013259. The reversal of 3013248 is 8423103.

It is a happy number.

3013248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3013237) and next prime (3013259).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

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 15 ways as a sum of consecutive naturals, for example, 51043 + ... + 51101.

It is an arithmetic number, because the mean of its divisors is an integer number (76500).

Almost surely, 23013248 is an apocalyptic number.

3013248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000).

3013248 is an abundant number, since it is smaller than the sum of its proper divisors (6778752).

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

3013248 is a wasteful number, since it uses less digits than its factorization.

3013248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3013248 is about 1735.8709629463. The cubic root of 3013248 is about 144.4369444276.

The spelling of 3013248 in words is "three million, thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 59 64 76 84 96 112 114 118 128 133 152 168 177 192 224 228 236 266 304 336 354 384 399 413 448 456 472 532 608 672 708 798 826 896 912 944 1064 1121 1216 1239 1344 1416 1596 1652 1824 1888 2128 2242 2432 2478 2688 2832 3192 3304 3363 3648 3776 4256 4484 4956 5664 6384 6608 6726 7296 7552 7847 8512 8968 9912 11328 12768 13216 13452 15694 17024 17936 19824 22656 23541 25536 26432 26904 31388 35872 39648 47082 51072 52864 53808 62776 71744 79296 94164 107616 125552 143488 158592 188328 215232 251104 376656 430464 502208 753312 1004416 1506624 3013248