Search a number
-
+
3056768 = 271113167
BaseRepresentation
bin1011101010010010000000
312202022002122
423222102000
51240304033
6145303412
734660601
oct13522200
95668078
103056768
1117a8660
121034b68
13830450
14597da8
15405a98
hex2ea480

3056768 has 64 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 1274880.

The previous prime is 3056759. The next prime is 3056789. The reversal of 3056768 is 8676503.

It is a happy number.

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

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, 18221 + ... + 18387.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

Almost surely, 23056768 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 3056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

3056768 is an abundant number, since it is smaller than the sum of its proper divisors (4140352).

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

3056768 is a wasteful number, since it uses less digits than its factorization.

3056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 3056768 is about 1748.3615186797. The cubic root of 3056768 is about 145.1289855037.

The spelling of 3056768 in words is "three million, fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 167 176 208 286 334 352 416 572 668 704 832 1144 1336 1408 1664 1837 2171 2288 2672 3674 4342 4576 5344 7348 8684 9152 10688 14696 17368 18304 21376 23881 29392 34736 47762 58784 69472 95524 117568 138944 191048 235136 277888 382096 764192 1528384 3056768