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3057264 = 24347337
BaseRepresentation
bin1011101010011001110000
312202022210000
423222121300
51240313024
6145310000
734662210
oct13523160
95668700
103057264
1117a8a71
121035300
13830742
14598240
15405cc9
hex2ea670

3057264 has 100 divisors (see below), whose sum is σ = 10142704. Its totient is φ = 870912.

The previous prime is 3057253. The next prime is 3057281. The reversal of 3057264 is 4627503.

It is a happy number.

3057264 is a `hidden beast` number, since 30 + 572 + 64 = 666.

3057264 is nontrivially palindromic in base 11.

3057264 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 8904 + ... + 9240.

Almost surely, 23057264 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 3057264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071352).

3057264 is an abundant number, since it is smaller than the sum of its proper divisors (7085440).

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

3057264 is a wasteful number, since it uses less digits than its factorization.

3057264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3057264 is about 1748.5033600196. The cubic root of 3057264 is about 145.1368347619.

It can be divided in two parts, 3057 and 264, that added together give a triangular number (3321 = T81).

The spelling of 3057264 in words is "three million, fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 337 378 432 504 567 648 674 756 1008 1011 1134 1296 1348 1512 2022 2268 2359 2696 3024 3033 4044 4536 4718 5392 6066 7077 8088 9072 9099 9436 12132 14154 16176 18198 18872 21231 24264 27297 28308 36396 37744 42462 48528 54594 56616 63693 72792 84924 109188 113232 127386 145584 169848 191079 218376 254772 339696 382158 436752 509544 764316 1019088 1528632 3057264