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3440720 = 245411049
BaseRepresentation
bin1101001000000001010000
320110210210002
431020001100
51340100340
6201425132
741150153
oct15100120
96423702
103440720
111a40078
12119b1a8
1393613a
14657c9a
1547e715
hex348050

3440720 has 40 divisors (see below), whose sum is σ = 8202600. Its totient is φ = 1341440.

The previous prime is 3440719. The next prime is 3440771. The reversal of 3440720 is 270443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 258064 + 3182656 = 508^2 + 1784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3440692 and 3440701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2756 + ... + 3804.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 23440720 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 3440720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101300).

3440720 is an abundant number, since it is smaller than the sum of its proper divisors (4761880).

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

3440720 is a wasteful number, since it uses less digits than its factorization.

3440720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 3440720 is about 1854.9177879356. The cubic root of 3440720 is about 150.9673774241.

The spelling of 3440720 in words is "three million, four hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1049 1640 2098 3280 4196 5245 8392 10490 16784 20980 41960 43009 83920 86018 172036 215045 344072 430090 688144 860180 1720360 3440720