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3032064 = 21032747
BaseRepresentation
bin1011100100010000000000
312201001012200
423210100000
51234011224
6144553200
734525560
oct13442000
95631180
103032064
111791042
121022800
13822129
1458cda0
153ed5c9
hex2e4400

3032064 has 132 divisors (see below), whose sum is σ = 10218624. Its totient is φ = 847872.

The previous prime is 3032063. The next prime is 3032083. The reversal of 3032064 is 4602303.

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 (3032063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64489 + ... + 64535.

Almost surely, 23032064 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 3032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109312).

3032064 is an abundant number, since it is smaller than the sum of its proper divisors (7186560).

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

3032064 is a wasteful number, since it uses less digits than its factorization.

3032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3032064 is about 1741.2822861328. The cubic root of 3032064 is about 144.7369626816.

Adding to 3032064 its reverse (4602303), we get a palindrome (7634367).

The spelling of 3032064 in words is "three million, thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 64 72 84 94 96 112 126 128 141 144 168 188 192 224 252 256 282 288 329 336 376 384 423 448 504 512 564 576 658 672 752 768 846 896 987 1008 1024 1128 1152 1316 1344 1504 1536 1692 1792 1974 2016 2256 2304 2632 2688 2961 3008 3072 3384 3584 3948 4032 4512 4608 5264 5376 5922 6016 6768 7168 7896 8064 9024 9216 10528 10752 11844 12032 13536 15792 16128 18048 21056 21504 23688 24064 27072 31584 32256 36096 42112 47376 48128 54144 63168 64512 72192 84224 94752 108288 126336 144384 168448 189504 216576 252672 336896 379008 433152 505344 758016 1010688 1516032 3032064