Search a number
-
+
3041766 = 233713619
BaseRepresentation
bin1011100110100111100110
312201112112000
423212213212
51234314031
6145110130
734566060
oct13464746
95645460
103041766
111798362
121028346
13826680
14592730
154013e6
hex2e69e6

3041766 has 64 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 800928.

The previous prime is 3041741. The next prime is 3041771. The reversal of 3041766 is 6671403.

It is a super-3 number, since 3×30417663 = 84430363336087329288, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4605 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 23041766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3041766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

3041766 is an abundant number, since it is smaller than the sum of its proper divisors (5291034).

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

3041766 is a wasteful number, since it uses less digits than its factorization.

3041766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3041766 is about 1744.0659391204. The cubic root of 3041766 is about 144.8911747858.

The spelling of 3041766 in words is "three million, forty-one thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 619 702 819 1238 1638 1857 2457 3714 4333 4914 5571 8047 8666 11142 12999 16094 16713 24141 25998 33426 38997 48282 56329 72423 77994 112658 116991 144846 168987 217269 233982 337974 434538 506961 1013922 1520883 3041766