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3014144 = 297292
BaseRepresentation
bin1011011111111000000000
312200010121222
423133320000
51232423034
6144334212
734422410
oct13377000
95603558
103014144
111779631
121014368
13816c23
14586640
153e812e
hex2dfe00

3014144 has 60 divisors (see below), whose sum is σ = 7128264. Its totient is φ = 1247232.

The previous prime is 3014119. The next prime is 3014147. The reversal of 3014144 is 4414103.

3014144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3014147) 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 5 ways as a sum of consecutive naturals, for example, 103922 + ... + 103950.

Almost surely, 23014144 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 3014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564132).

3014144 is an abundant number, since it is smaller than the sum of its proper divisors (4114120).

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

3014144 is an frugal number, since it uses more digits than its factorization.

3014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3014144 is about 1736.1290274631. The cubic root of 3014144 is about 144.4512592884.

Adding to 3014144 its reverse (4414103), we get a palindrome (7428247).

The spelling of 3014144 in words is "three million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 841 896 928 1624 1682 1792 1856 3248 3364 3584 3712 5887 6496 6728 7424 11774 12992 13456 14848 23548 25984 26912 47096 51968 53824 94192 103936 107648 188384 215296 376768 430592 753536 1507072 3014144