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3045768 = 2331183139
BaseRepresentation
bin1011100111100110001000
312201202000020
423213212020
51234431033
6145140440
734613535
oct13474610
95652006
103045768
1117a0370
12102a720
1382843b
14593d8c
154026b3
hex2e7988

3045768 has 64 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 905280.

The previous prime is 3045761. The next prime is 3045773. The reversal of 3045768 is 8675403.

3045768 is digitally balanced in base 2, because in such base 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 (33).

It is not an unprimeable number, because it can be changed into a prime (3045761) 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, 21843 + ... + 21981.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 23045768 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 3045768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3045768 is an abundant number, since it is smaller than the sum of its proper divisors (5421432).

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

3045768 is a wasteful number, since it uses less digits than its factorization.

3045768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3045768 is about 1745.2128809976. The cubic root of 3045768 is about 144.9546905598.

The spelling of 3045768 in words is "three million, forty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 139 166 249 264 278 332 417 498 556 664 834 913 996 1112 1529 1668 1826 1992 2739 3058 3336 3652 4587 5478 6116 7304 9174 10956 11537 12232 18348 21912 23074 34611 36696 46148 69222 92296 126907 138444 253814 276888 380721 507628 761442 1015256 1522884 3045768