Search a number
-
+
3061008 = 243229733
BaseRepresentation
bin1011101011010100010000
312202111220200
423223110100
51240423013
6145335200
735006136
oct13532420
95674820
103061008
111800865
121037500
13832362
14599756
15406e73
hex2eb510

3061008 has 60 divisors (see below), whose sum is σ = 8874060. Its totient is φ = 983808.

The previous prime is 3060997. The next prime is 3061021. The reversal of 3061008 is 8001603.

3061008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2471184 + 589824 = 1572^2 + 768^2 .

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 11 ways as a sum of consecutive naturals, for example, 3810 + ... + 4542.

It is an arithmetic number, because the mean of its divisors is an integer number (147901).

Almost surely, 23061008 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 3061008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437030).

3061008 is an abundant number, since it is smaller than the sum of its proper divisors (5813052).

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

3061008 is a wasteful number, since it uses less digits than its factorization.

3061008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3061008 is about 1749.5736623532. The cubic root of 3061008 is about 145.1960566286.

The spelling of 3061008 in words is "three million, sixty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 733 1044 1392 1466 2088 2199 2932 4176 4398 5864 6597 8796 11728 13194 17592 21257 26388 35184 42514 52776 63771 85028 105552 127542 170056 191313 255084 340112 382626 510168 765252 1020336 1530504 3061008