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3062304 = 25327331
BaseRepresentation
bin1011101011101000100000
312202120200200
423223220200
51240443204
6145345200
735013000
oct13535040
95676620
103062304
111801833
121038200
13832b1b
1459a000
15407539
hex2eba20

3062304 has 144 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 846720.

The previous prime is 3062291. The next prime is 3062317. The reversal of 3062304 is 4032603.

It is an interprime number because it is at equal distance from previous prime (3062291) and next prime (3062317).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98769 + ... + 98799.

It is an arithmetic number, because the mean of its divisors is an integer number (72800).

Almost surely, 23062304 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 3062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3062304 is an abundant number, since it is smaller than the sum of its proper divisors (7420896).

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

3062304 is a wasteful number, since it uses less digits than its factorization.

3062304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 43 counting only the distinct ones).

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

The square root of 3062304 is about 1749.9439991040. The cubic root of 3062304 is about 145.2165452539.

Adding to 3062304 its reverse (4032603), we get a palindrome (7094907).

Subtracting 3062304 from its reverse (4032603), we obtain a cube (970299 = 993).

The spelling of 3062304 in words is "three million, sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 49 56 62 63 72 84 93 96 98 112 124 126 144 147 168 186 196 217 224 248 252 279 288 294 336 343 372 392 434 441 496 504 558 588 651 672 686 744 784 868 882 992 1008 1029 1116 1176 1302 1372 1488 1519 1568 1736 1764 1953 2016 2058 2232 2352 2604 2744 2976 3038 3087 3472 3528 3906 4116 4464 4557 4704 5208 5488 6076 6174 6944 7056 7812 8232 8928 9114 10416 10633 10976 12152 12348 13671 14112 15624 16464 18228 20832 21266 24304 24696 27342 31248 31899 32928 36456 42532 48608 49392 54684 62496 63798 72912 85064 95697 98784 109368 127596 145824 170128 191394 218736 255192 340256 382788 437472 510384 765576 1020768 1531152 3062304