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3059328 = 27331257
BaseRepresentation
bin1011101010111010000000
312202102121110
423222322000
51240344303
6145323320
735001216
oct13527200
95672543
103059328
1117aa578
121036540
1383166c
14598cb6
15406703
hex2eae80

3059328 has 64 divisors (see below), whose sum is σ = 8421120. Its totient is φ = 983040.

The previous prime is 3059293. The next prime is 3059339. The reversal of 3059328 is 8239503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3059295 and 3059304.

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, 11776 + ... + 12032.

It is an arithmetic number, because the mean of its divisors is an integer number (131580).

Almost surely, 23059328 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 3059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210560).

3059328 is an abundant number, since it is smaller than the sum of its proper divisors (5361792).

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

3059328 is a wasteful number, since it uses less digits than its factorization.

3059328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3059328 is about 1749.0934794916. The cubic root of 3059328 is about 145.1694886903.

The spelling of 3059328 in words is "three million, fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 257 372 384 496 514 744 771 992 1028 1488 1542 1984 2056 2976 3084 3968 4112 5952 6168 7967 8224 11904 12336 15934 16448 23901 24672 31868 32896 47802 49344 63736 95604 98688 127472 191208 254944 382416 509888 764832 1019776 1529664 3059328