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3000302144 = 26721496421
BaseRepresentation
bin1011001011010100…
…1111101001000000
321202002121010210122
42302311033221000
522121034132034
61213414515412
7134231101400
oct26265175100
97662533718
103000302144
1112aa657454
126b8965b68
1338a78bc18
14206684800
1512860362e
hexb2d4fa40

3000302144 has 84 divisors (see below), whose sum is σ = 6973328700. Its totient is φ = 1277015040.

The previous prime is 3000302131. The next prime is 3000302203. The reversal of 3000302144 is 4412030003.

It can be written as a sum of positive squares in 2 ways, for example, as 571783744 + 2428518400 = 23912^2 + 49280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464054 + ... + 470474.

Almost surely, 23000302144 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 3000302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486664350).

3000302144 is an abundant number, since it is smaller than the sum of its proper divisors (3973026556).

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

3000302144 is a wasteful number, since it uses less digits than its factorization.

3000302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3000302144 is about 54775.0138658129. The cubic root of 3000302144 is about 1442.2979872436.

Adding to 3000302144 its reverse (4412030003), we get a palindrome (7412332147).

The spelling of 3000302144 in words is "three billion, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 149 196 224 298 392 448 596 784 1043 1192 1568 2086 2384 3136 4172 4768 6421 7301 8344 9536 12842 14602 16688 25684 29204 33376 44947 51368 58408 66752 89894 102736 116816 179788 205472 233632 314629 359576 410944 467264 629258 719152 956729 1258516 1438304 1913458 2517032 2876608 3826916 5034064 6697103 7653832 10068128 13394206 15307664 20136256 26788412 30615328 46879721 53576824 61230656 93759442 107153648 187518884 214307296 375037768 428614592 750075536 1500151072 3000302144