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3063264 = 253171877
BaseRepresentation
bin1011101011110111100000
312202122000020
423223313200
51241011024
6145353440
735015541
oct13536740
95678006
103063264
111802526
121038880
138333a9
1459a4c8
15407979
hex2ebde0

3063264 has 48 divisors (see below), whose sum is σ = 8518608. Its totient is φ = 960512.

The previous prime is 3063257. The next prime is 3063287. The reversal of 3063264 is 4623603.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (177471).

Almost surely, 23063264 is an apocalyptic number.

3063264 is a gapful number since it is divisible by the number (34) 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 3063264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259304).

3063264 is an abundant number, since it is smaller than the sum of its proper divisors (5455344).

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

3063264 is a wasteful number, since it uses less digits than its factorization.

3063264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3063264 is about 1750.2182721021. The cubic root of 3063264 is about 145.2317182869.

Adding to 3063264 its reverse (4623603), we get a palindrome (7686867).

It can be divided in two parts, 306 and 3264, that added together give a triangular number (3570 = T84).

The spelling of 3063264 in words is "three million, sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1877 3754 5631 7508 11262 15016 22524 30032 31909 45048 60064 63818 90096 95727 127636 180192 191454 255272 382908 510544 765816 1021088 1531632 3063264