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3399444 = 2232891061
BaseRepresentation
bin1100111101111100010100
320101201011100
430331330110
51332240234
6200510100
740615626
oct14757424
96351140
103399444
111a12064
12117b330
13920409
14646c16
15472399
hex33df14

3399444 has 36 divisors (see below), whose sum is σ = 8697780. Its totient is φ = 1119360.

The previous prime is 3399443. The next prime is 3399457. The reversal of 3399444 is 4449933.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 1988100 = 1188^2 + 1410^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 3399399 and 3399408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399443) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2674 + ... + 3734.

It is an arithmetic number, because the mean of its divisors is an integer number (241605).

Almost surely, 23399444 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 3399444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348890).

3399444 is an abundant number, since it is smaller than the sum of its proper divisors (5298336).

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

3399444 is a wasteful number, since it uses less digits than its factorization.

3399444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1155 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3399444 is about 1843.7581186262. The cubic root of 3399444 is about 150.3612625639.

The spelling of 3399444 in words is "three million, three hundred ninety-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1061 1068 1602 2122 3183 3204 4244 6366 9549 12732 19098 38196 94429 188858 283287 377716 566574 849861 1133148 1699722 3399444