Search a number
-
+
3077808 = 243371733
BaseRepresentation
bin1011101111011010110000
312210100221220
423233122300
51241442213
6145545040
735106126
oct13573260
95710856
103077808
111812448
121045180
13839bb6
145a1916
1540be23
hex2ef6b0

3077808 has 40 divisors (see below), whose sum is σ = 8170608. Its totient is φ = 997632.

The previous prime is 3077803. The next prime is 3077813. The reversal of 3077808 is 8087703.

It is an interprime number because it is at equal distance from previous prime (3077803) and next prime (3077813).

It is not an unprimeable number, because it can be changed into a prime (3077801) 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 7 ways as a sum of consecutive naturals, for example, 910 + ... + 2642.

Almost surely, 23077808 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 3077808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085304).

3077808 is an abundant number, since it is smaller than the sum of its proper divisors (5092800).

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

3077808 is a wasteful number, since it uses less digits than its factorization.

3077808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 3077808 is about 1754.3682623668. The cubic root of 3077808 is about 145.4612029150.

The spelling of 3077808 in words is "three million, seventy-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1733 1776 3466 5199 6932 10398 13864 20796 27728 41592 64121 83184 128242 192363 256484 384726 512968 769452 1025936 1538904 3077808