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3042816 = 2937283
BaseRepresentation
bin1011100110111000000000
312201120221220
423212320000
51234332231
6145115040
734602120
oct13467000
95646856
103042816
111799127
121028a80
13826caa
14592c80
15401896
hex2e6e00

3042816 has 80 divisors (see below), whose sum is σ = 9297024. Its totient is φ = 866304.

The previous prime is 3042803. The next prime is 3042829. The reversal of 3042816 is 6182403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3042803) and next prime (3042829).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10611 + ... + 10893.

Almost surely, 23042816 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 3042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648512).

3042816 is an abundant number, since it is smaller than the sum of its proper divisors (6254208).

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

3042816 is an equidigital number, since it uses as much as digits as its factorization.

3042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3042816 is about 1744.3669338760. The cubic root of 3042816 is about 144.9078447325.

The spelling of 3042816 in words is "three million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 283 336 384 448 512 566 672 768 849 896 1132 1344 1536 1698 1792 1981 2264 2688 3396 3584 3962 4528 5376 5943 6792 7924 9056 10752 11886 13584 15848 18112 23772 27168 31696 36224 47544 54336 63392 72448 95088 108672 126784 144896 190176 217344 253568 380352 434688 507136 760704 1014272 1521408 3042816