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3053568 = 2113771
BaseRepresentation
bin1011101001100000000000
312202010201010
423221200000
51240203233
6145240520
734645350
oct13514000
95663633
103053568
1117a6211
121033140
1382bb5b
14596b60
15404b63
hex2e9800

3053568 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 860160.

The previous prime is 3053563. The next prime is 3053569. The reversal of 3053568 is 8653503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3053563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42973 + ... + 43043.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 23053568 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 3053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3053568 is an abundant number, since it is smaller than the sum of its proper divisors (6381312).

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

3053568 is an equidigital number, since it uses as much as digits as its factorization.

3053568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3053568 is about 1747.4461365089. The cubic root of 3053568 is about 145.0783247071.

It can be divided in two parts, 30535 and 68, that added together give a palindrome (30603).

The spelling of 3053568 in words is "three million, fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 128 142 168 192 213 224 256 284 336 384 426 448 497 512 568 672 768 852 896 994 1024 1136 1344 1491 1536 1704 1792 1988 2048 2272 2688 2982 3072 3408 3584 3976 4544 5376 5964 6144 6816 7168 7952 9088 10752 11928 13632 14336 15904 18176 21504 23856 27264 31808 36352 43008 47712 54528 63616 72704 95424 109056 127232 145408 190848 218112 254464 381696 436224 508928 763392 1017856 1526784 3053568