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3005442 = 2321143353
BaseRepresentation
bin1011011101110000000010
312122200200200
423131300002
51232133232
6144230030
734355136
oct13356002
95580620
103005442
111773040
12100b316
13812c8b
145833c6
153e577c
hex2ddc02

3005442 has 48 divisors (see below), whose sum is σ = 7289568. Its totient is φ = 887040.

The previous prime is 3005417. The next prime is 3005449. The reversal of 3005442 is 2445003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3005449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8338 + ... + 8690.

It is an arithmetic number, because the mean of its divisors is an integer number (151866).

Almost surely, 23005442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644784).

3005442 is an abundant number, since it is smaller than the sum of its proper divisors (4284126).

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

3005442 is a wasteful number, since it uses less digits than its factorization.

3005442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3005442 is about 1733.6210658619. The cubic root of 3005442 is about 144.3121123761.

The spelling of 3005442 in words is "three million, five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 353 387 473 706 774 946 1059 1419 2118 2838 3177 3883 4257 6354 7766 8514 11649 15179 23298 30358 34947 45537 69894 91074 136611 166969 273222 333938 500907 1001814 1502721 3005442