Search a number
-
+
3444066 = 233234759
BaseRepresentation
bin1101001000110101100010
320110222101000
431020311202
51340202231
6201452430
741163003
oct15106542
96428330
103444066
111a4263a
1211a1116
13937812
146591aa
154806e6
hex348d62

3444066 has 64 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 1056528.

The previous prime is 3444061. The next prime is 3444079. The reversal of 3444066 is 6604443.

It is a happy number.

It is a super-2 number, since 2×34440662 = 23723181224712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3444061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58345 + ... + 58403.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 23444066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147200).

3444066 is an abundant number, since it is smaller than the sum of its proper divisors (4850334).

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

3444066 is a wasteful number, since it uses less digits than its factorization.

3444066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3444066 is about 1855.8194955329. The cubic root of 3444066 is about 151.0162986953.

It can be divided in two parts, 34 and 44066, that added together give a square (44100 = 2102).

The spelling of 3444066 in words is "three million, four hundred forty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 47 54 59 69 94 118 138 141 177 207 282 354 414 423 531 621 846 1062 1081 1242 1269 1357 1593 2162 2538 2714 2773 3186 3243 4071 5546 6486 8142 8319 9729 12213 16638 19458 24426 24957 29187 36639 49914 58374 63779 73278 74871 127558 149742 191337 382674 574011 1148022 1722033 3444066