Search a number
-
+
3054288 = 2431719197
BaseRepresentation
bin1011101001101011010000
312202011200210
423221223100
51240214123
6145244120
734650426
oct13515320
95664623
103054288
1117a6806
121033640
1382c293
14597116
15404e93
hex2e9ad0

3054288 has 80 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 903168.

The previous prime is 3054283. The next prime is 3054299. The reversal of 3054288 is 8824503.

3054288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 39 + 0 + 59 + 410 + 27 + 8 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3054283) 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 15 ways as a sum of consecutive naturals, for example, 15406 + ... + 15602.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 23054288 is an apocalyptic number.

3054288 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 3054288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

3054288 is an abundant number, since it is smaller than the sum of its proper divisors (5784432).

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

3054288 is a wasteful number, since it uses less digits than its factorization.

3054288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3054288 is about 1747.6521393000. The cubic root of 3054288 is about 145.0897264711.

The spelling of 3054288 in words is "three million, fifty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 197 204 228 272 304 323 394 408 456 591 646 788 816 912 969 1182 1292 1576 1938 2364 2584 3152 3349 3743 3876 4728 5168 6698 7486 7752 9456 10047 11229 13396 14972 15504 20094 22458 26792 29944 40188 44916 53584 59888 63631 80376 89832 127262 160752 179664 190893 254524 381786 509048 763572 1018096 1527144 3054288