Search a number
-
+
3076864 = 28717101
BaseRepresentation
bin1011101111001100000000
312210022122221
423233030000
51241424424
6145540424
735103310
oct13571400
95708587
103076864
11181176a
121044714
1383963b
145a1440
1540b9e4
hex2ef300

3076864 has 72 divisors (see below), whose sum is σ = 7505568. Its totient is φ = 1228800.

The previous prime is 3076861. The next prime is 3076867. The reversal of 3076864 is 4686703.

It is an interprime number because it is at equal distance from previous prime (3076861) and next prime (3076867).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3076861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30414 + ... + 30514.

It is an arithmetic number, because the mean of its divisors is an integer number (104244).

Almost surely, 23076864 is an apocalyptic number.

3076864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752784).

3076864 is an abundant number, since it is smaller than the sum of its proper divisors (4428704).

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

3076864 is a wasteful number, since it uses less digits than its factorization.

3076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3076864 is about 1754.0991990193. The cubic root of 3076864 is about 145.4463298390.

The spelling of 3076864 in words is "three million, seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 101 112 119 128 136 202 224 238 256 272 404 448 476 544 707 808 896 952 1088 1414 1616 1717 1792 1904 2176 2828 3232 3434 3808 4352 5656 6464 6868 7616 11312 12019 12928 13736 15232 22624 24038 25856 27472 30464 45248 48076 54944 90496 96152 109888 180992 192304 219776 384608 439552 769216 1538432 3076864