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3074016 = 253114171
BaseRepresentation
bin1011101110011111100000
312210011202110
423232133200
51241332031
6145515320
735062101
oct13563740
95704673
103074016
11180a610
121042b40
1383825a
145a03a8
1540ac46
hex2ee7e0

3074016 has 96 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 896000.

The previous prime is 3074011. The next prime is 3074021. The reversal of 3074016 is 6104703.

3074016 = T133 + T134 + ... + T274.

It is an interprime number because it is at equal distance from previous prime (3074011) and next prime (3074021).

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3073983 and 3074001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43261 + ... + 43331.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

Almost surely, 23074016 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 3074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

3074016 is an abundant number, since it is smaller than the sum of its proper divisors (6070560).

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

3074016 is a wasteful number, since it uses less digits than its factorization.

3074016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3074016 is about 1753.2871983791. The cubic root of 3074016 is about 145.4014400833.

Adding to 3074016 its reverse (6104703), we get a palindrome (9178719).

The spelling of 3074016 in words is "three million, seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 71 82 88 96 123 132 142 164 176 213 246 264 284 328 352 426 451 492 528 568 656 781 852 902 984 1056 1136 1312 1353 1562 1704 1804 1968 2272 2343 2706 2911 3124 3408 3608 3936 4686 5412 5822 6248 6816 7216 8733 9372 10824 11644 12496 14432 17466 18744 21648 23288 24992 32021 34932 37488 43296 46576 64042 69864 74976 93152 96063 128084 139728 192126 256168 279456 384252 512336 768504 1024672 1537008 3074016