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3441384 = 233247797
BaseRepresentation
bin1101001000001011101000
320110211200200
431020023220
51340111014
6201432200
741152122
oct15101350
96424620
103441384
111a40621
12119b660
1393652b
14658212
1547ea09
hex3482e8

3441384 has 24 divisors (see below), whose sum is σ = 9320610. Its totient is φ = 1147104.

The previous prime is 3441379. The next prime is 3441391. The reversal of 3441384 is 4831443.

It can be written as a sum of positive squares in only one way, i.e., 2965284 + 476100 = 1722^2 + 690^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×34413843 (a number of 21 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23827 + ... + 23970.

Almost surely, 23441384 is an apocalyptic number.

It is an amenable number.

3441384 is an abundant number, since it is smaller than the sum of its proper divisors (5879226).

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

3441384 is a wasteful number, since it uses less digits than its factorization.

3441384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47809 (or 47802 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3441384 is about 1855.0967629749. The cubic root of 3441384 is about 150.9770881717.

It can be divided in two parts, 344 and 1384, that added together give a cube (1728 = 123).

The spelling of 3441384 in words is "three million, four hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 47797 95594 143391 191188 286782 382376 430173 573564 860346 1147128 1720692 3441384