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303104144 = 24741149443
BaseRepresentation
bin10010000100010…
…000000010010000
3210010100021201102
4102010100002100
51110043313034
650024323532
710340225360
oct2204200220
9703307642
10303104144
111461046a2
12856135a8
134aa46985
142c3809a0
151b92397e
hex12110090

303104144 has 80 divisors (see below), whose sum is σ = 693705600. Its totient is φ = 125598720.

The previous prime is 303104129. The next prime is 303104147. The reversal of 303104144 is 441401303.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (303104147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683987 + ... + 684429.

It is an arithmetic number, because the mean of its divisors is an integer number (8671320).

Almost surely, 2303104144 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 303104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346852800).

303104144 is an abundant number, since it is smaller than the sum of its proper divisors (390601456).

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

303104144 is a wasteful number, since it uses less digits than its factorization.

303104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 303104144 is about 17409.8863867631. The cubic root of 303104144 is about 671.7339389861.

Adding to 303104144 its reverse (441401303), we get a palindrome (744505447).

The spelling of 303104144 in words is "three hundred three million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 149 164 287 298 328 443 574 596 656 886 1043 1148 1192 1772 2086 2296 2384 3101 3544 4172 4592 6109 6202 7088 8344 12218 12404 16688 18163 24436 24808 36326 42763 48872 49616 66007 72652 85526 97744 127141 132014 145304 171052 254282 264028 290608 342104 462049 508564 528056 684208 924098 1017128 1056112 1848196 2034256 2706287 3696392 5412574 7392784 10825148 18944009 21650296 37888018 43300592 75776036 151552072 303104144